{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import gym\n",
    "import itertools\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import sys\n",
    "\n",
    "\n",
    "if \"../\" not in sys.path:\n",
    "  sys.path.append(\"../\") \n",
    "\n",
    "from collections import defaultdict\n",
    "from lib.envs.cliff_walking import CliffWalkingEnv\n",
    "from lib import plotting\n",
    "\n",
    "matplotlib.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = CliffWalkingEnv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def make_epsilon_greedy_policy(Q, epsilon, nA):\n",
    "    \"\"\"\n",
    "    Creates an epsilon-greedy policy based on a given Q-function and epsilon.\n",
    "    \n",
    "    Args:\n",
    "        Q: A dictionary that maps from state -> action-values.\n",
    "            Each value is a numpy array of length nA (see below)\n",
    "        epsilon: The probability to select a random action. Float between 0 and 1.\n",
    "        nA: Number of actions in the environment.\n",
    "    \n",
    "    Returns:\n",
    "        A function that takes the observation as an argument and returns\n",
    "        the probabilities for each action in the form of a numpy array of length nA.\n",
    "    \n",
    "    \"\"\"\n",
    "    def policy_fn(observation):\n",
    "        A = np.ones(nA, dtype=float) * epsilon / nA\n",
    "        best_action = np.argmax(Q[observation])\n",
    "        A[best_action] += (1.0 - epsilon)\n",
    "        return A\n",
    "    return policy_fn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def q_learning(env, num_episodes, discount_factor=1.0, alpha=0.5, epsilon=0.1):\n",
    "    \"\"\"\n",
    "    Q-Learning algorithm: Off-policy TD control. Finds the optimal greedy policy\n",
    "    while following an epsilon-greedy policy\n",
    "    \n",
    "    Args:\n",
    "        env: OpenAI environment.\n",
    "        num_episodes: Number of episodes to run for.\n",
    "        discount_factor: Gamma discount factor.\n",
    "        alpha: TD learning rate.\n",
    "        epsilon: Chance to sample a random action. Float between 0 and 1.\n",
    "    \n",
    "    Returns:\n",
    "        A tuple (Q, episode_lengths).\n",
    "        Q is the optimal action-value function, a dictionary mapping state -> action values.\n",
    "        stats is an EpisodeStats object with two numpy arrays for episode_lengths and episode_rewards.\n",
    "    \"\"\"\n",
    "    \n",
    "    # The final action-value function.\n",
    "    # A nested dictionary that maps state -> (action -> action-value).\n",
    "    Q = defaultdict(lambda: np.zeros(env.action_space.n))\n",
    "\n",
    "    # Keeps track of useful statistics\n",
    "    stats = plotting.EpisodeStats(\n",
    "        episode_lengths=np.zeros(num_episodes),\n",
    "        episode_rewards=np.zeros(num_episodes))    \n",
    "    \n",
    "    # The policy we're following\n",
    "    policy = make_epsilon_greedy_policy(Q, epsilon, env.action_space.n)\n",
    "    \n",
    "    for i_episode in range(num_episodes):\n",
    "        # Print out which episode we're on, useful for debugging.\n",
    "        if (i_episode + 1) % 100 == 0:\n",
    "            print(\"\\rEpisode {}/{}.\".format(i_episode + 1, num_episodes), end=\"\")\n",
    "            sys.stdout.flush()\n",
    "        \n",
    "        # Reset the environment and pick the first action\n",
    "        state = env.reset()\n",
    "        \n",
    "        # One step in the environment\n",
    "        # total_reward = 0.0\n",
    "        for t in itertools.count():\n",
    "            \n",
    "            # Take a step\n",
    "            action_probs = policy(state)\n",
    "            action = np.random.choice(np.arange(len(action_probs)), p=action_probs)\n",
    "            next_state, reward, done, _ = env.step(action)\n",
    "\n",
    "            # Update statistics\n",
    "            stats.episode_rewards[i_episode] += reward\n",
    "            stats.episode_lengths[i_episode] = t\n",
    "            \n",
    "            # TD Update\n",
    "            best_next_action = np.argmax(Q[next_state])    \n",
    "            td_target = reward + discount_factor * Q[next_state][best_next_action]\n",
    "            td_delta = td_target - Q[state][action]\n",
    "            Q[state][action] += alpha * td_delta\n",
    "                \n",
    "            if done:\n",
    "                break\n",
    "                \n",
    "            state = next_state\n",
    "    \n",
    "    return Q, stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Episode 500/500."
     ]
    }
   ],
   "source": [
    "Q, stats = q_learning(env, 500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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t2+FwOFBWVobp06dj+fLl8Pv9sNvtAGTBw7XXXgtAth9ZvXo1rFZr0u1HGMjlLr4Z5S5e\nu9zG65fbeP1yV/QeycnKWiCXTQzkchffjHIXr11u4/XLbbx+uaurgVyPKHYgIiIiouQxkCMiIiLK\nUQzkiIiIiHIUAzkiIiKiHMVAjoiIiChHMZAjIiIiylEM5IiIiIhyFAM5IiIiohzFQI6IiIgoRzGQ\nIyIiIspRDOSIiIiIchQDOSIiIqIcxUCOiIiIKEcxkCMiIiLKUQzkiIiIiHIUAzkiIiKiHMVAjoiI\niChHMZAjIiIiylEM5IiIiIhyFAM5IiIiohzFQI6IiIgoRzGQIyIiIspRDOSIiIiIchQDOSIiIqIc\nxUCOiIiIKEcxkCMiIiLKUQzkiIiIiHIUAzkiIiKiHMVAjoiIiChHMZAjIiIiylEM5IiIiIhyFAM5\nIiIiohzFQI6IiIgoRzGQIyIiIspRDOSIiIiIchQDOSIiIqIcxUCOiIiIKEcxkCMiIiLKUdZsPdHi\nxYuxefNmlJWVYf78+QAAp9OJBQsWoKGhATU1NZgzZw6KiooAAM8//zw+/fRT5Ofn4+abb0ZtbW22\nhkpERESUE7KWkZsyZQruueeeiPtWrFiB0aNHY+HChairq8Py5csBAFu2bMGhQ4fw+OOP4/rrr8cz\nzzyTrWFCfP0lxMF9WXs+IiIiolRlLZA78cQTUVxcHHHfpk2bMGnSJADA5MmTsWnTJgDAxx9/HLp/\nxIgRaG9vx9GjR7MyTvHhGohP/5GV5yIiIiLqim5dI9fS0oLy8nIAQHl5OVpaWgAATU1NqKqqCh1X\nWVmJpqam7AxKaIDblZ3nIiIiIuqCrK2R6ypFUWLeX19fj/r6+tDt6dOnw263p/w87RYrFE1DYRfO\nQanLy8vr0vWj7sNrl9t4/XIbr19uW7ZsWejjuro61NXVmX5stwZy5eXlOHr0aOj/srIyADID19jY\nGDqusbERFRUVMc8R6wU7HI6Ux6R53IDHDX8XzkGps9vtXbp+1H147XIbr19u4/XLXXa7HdOnT0/5\n8VmdWhVCQAgRuj127FisXbsWALB27VqMGzcOADBu3DisW7cOAPDFF1+guLg4NAWbcRqnVomIiCg3\nZC0jt3DhQmzfvh0OhwM33XQTpk+fjssuuwyPPfYY1qxZg+rqatxxxx0AgNNPPx1btmzBrbfeioKC\nAtx0003ZGiagaRAM5IiIiCgHKMKYIusl9u/f3+kxwueD+OQDqBMmR9yvPfc/EE1HYPmvhzI0OkqE\n0wO5i9cut/H65TZev9w1aNCgLj2+7+7s0HgY4o0/dbxf0wCPO/vjISIiIkpS3w3khCaDtmhcI0dE\nREQ5ou8GcpoAYswqC00DPAzkiIiIqOfru4GcCACIsTyQU6tERESUI/puIKcJ+S+a0AC3G72wBoSI\niIh6mb4byAkt5tQqNE1+zuvN/piIiIiIktB3Azk9YOtwf0D+z3VyRERE1MP18UAu1tRq8D5WrhIR\nEVEP13cDOREvIxe8jwUPRERE1MP13UAuXrFDKJBjRo6IiIh6tr4byCUqdsjLA9zMyBEREVHP1ncD\nuXjFDkIDCouZkSMiIqIer+8GcokycoXFEMzIERERUQ/XdwO5uO1HNKCwiBk5IiIi6vH6biAn4hU7\nBOTUKtuPEBERUQ/XdwO5eH3kNA1KUTHbjxAREVGP13cDuUR95PILAK8n+2MiIiIiSkLfDeTi7uyg\nAVZruJ8cERERUQ/VdwM5IQAhIKKDOU0DrDYGckRERNTj9dlATuiBWqxAzsKMHBEREfV8fTaQQ7xA\nTgg5tRpr/RwRERFRD9J3Azk9UIsO2EIZuUD2x0RERESUhL4byCWaWmWxAxEREeWAvhvI6QFcdFNg\nLcBAjoiIiHJC3w3ktDhTq0IDLKxaJSIiop6v7wZyoQAu9tSq4Bo5IiIi6uH6biCnZ9w6TK2yjxwR\nERHlhr4byOlr5FjsQERERDmq7wZy8dbIaRoUBnJERESUAxjIdWgIrAEWCxsCExERUY/XdwO5hA2B\nuUaOiIiIer6+G8jFKHYQQsgMncXCQI6IiIh6vL4byMUqdtA0QFEBVWUgR0RERD1e3w3kYhU7CE0G\ncQzkiIiIKAf03UBOxCh20AyBHIsdiIiIqIfru4FcaI2cFnmfqsrpVWbkiIiIqIfru4FcvDVyqgqo\nFiDALbqIiIioZ7N29wAAYOXKlVizZg0URcExxxyDWbNmoampCQsXLoTT6cSwYcNw6623wmKxpO9J\nY/WREyx2ICIiotzR7Rm5pqYmrFq1CvPmzcP8+fMRCATw97//HUuXLsUll1yChQsXori4GKtXr07v\nE8cqdtAzchaukSMiIqKer9sDOQDQNA1utxuBQABerxeVlZWor6/HmWeeCQCYNGkSPvroo/Q+aaJi\nB4V95IiIiKjn6/ap1crKSlxyySWYNWsW8vPzMWbMGAwbNgzFxcVQVRlnVlVVobm5Ob1PHKMhcETV\nKgM5IiIi6uG6PSPX1taGTZs24Xe/+x1+//vfw+PxYMuWLR2OUxQlvU8cKnaIMbWqqoDGYgciIiLq\n2bo9I7d161bU1NSgpKQEADB+/Hh88cUXaGtrg6ZpUFUVjY2NqKioiPn4+vp61NfXh25Pnz4ddru9\n0+dtt1rgBVBcVAhL8PiAywmnakGx3Y42wNR5KL3y8vL4dc9RvHa5jdcvt/H65bZly5aFPq6rq0Nd\nXZ3px3Z7IFddXY0vv/wSXq8XNpsNW7duxfDhw1FXV4cPP/wQZ599NtatW4dx48bFfHysF+xwODp9\nXs3jAQC0OZ1QHA6IPbuAvHwIRUGbywUt4Dd1Hkovu93Or3uO4rXLbbx+uY3XL3fZ7XZMnz495ceb\nCuT8fj/Wrl2L3bt3w+12R3zulltuSfnJAeD444/HhAkTMHfuXFgsFtTW1uL888/H6aefjgULFuDl\nl19GbW0tpk6d2qXn6SCq/Yj20pNQzvuebD/ChsBERESUA0wFcosWLcKePXswduxYlJWVpX0QV1xx\nBa644oqI+2pqavDQQw+l/blCoosdAn7A62GxAxEREeUMU4HcZ599hkWLFqG4uDjT48me6GKHQADw\neRnIERERUc4wVbVaXV0Nn8+X6bFkV/TODgzkiIiIKMfEzcht27Yt9PHEiRPx6KOP4sILL0R5eXnE\ncSeffHLmRpdJ0Q2BtUDU1CrbjxAREVHPFjeQW7x4cYf7/vznP0fcVhQFixYtSv+osiE6I6cFAK+X\ne60SERFRzogbyD355JPZHEf2xVwj5+EWXURERJQzTK2R+81vfhPz/vnz56d1MFkVa42c17BGTjCQ\nIyIiop7NVCBn3DnBzP25QOiBWqgNiaHYwcKpVSIiIur5ErYfefnllwHIhsD6x7pDhw6hX79+mRtZ\npnXIyGkQXi+gWuQ6OSEghEj/Hq9EREREaZIwkGtsbAQAaJoW+lhXXV3dpS0lul2HQC7cEFhRlPDu\nDhZL942RiIiIKIGEgdysWbMAACNHjsT555+flQFlTXSxgxYsdrDlyduqChxthLZxNdRLftA9YyQi\nIiJKwNTODqNHj8ahQ4c63G+z2VBeXg5VNbXUrmcxZOSEEPK21wvkF8j7VRU4tB9i0wcAAzkiIiLq\ngUwFcrfddlvcz6mqirFjx+Laa6/t0Cy4RxNacPpUhIM6X7CPHCADOZ8X8Li7b4xERERECZgK5G64\n4QZs374dl19+Oaqrq3HkyBG8+uqrOOGEEzBq1CgsXboUzz33HP7zP/8z0+NNH339m9DCuzjoVasA\nAzkiIiLq8UzNiS5btgzXX389BgwYAKvVigEDBuC6667DX//6VwwePBizZs3C9u3bMz3W9BIiGMgJ\nWegAhPvIAYCiyipWr6f7xkhERESUgKlATgiBhoaGiPuOHDkCLTglWVBQgECg5+xNKvRChkSMGbmA\nPrXq6ZiR83rMnY+IiIgoy0xNrV500UV48MEHMXnyZFRVVaGpqQlr1qzBRRddBADYvHkzRo4cmdGB\nJkUIoLP+b5oGWKzyWH1q1euFogbbjeiBnBDBIoj8zI6ZiIiIKEmmArlp06bh2GOPxcaNG/H111+j\nvLwcN910E0499VQAwPjx4zF+/PiMDjQpZjJoQgNUC4QmoOjZRL8vqtjBJz/2uhnIERERUY9jKpAD\ngFNPPTUUuPV4SU+tGqaFI6ZWg+vj3C7AXpb+cRIRERF1galAzu/3Y+3atdi9ezfc7sgqzltuuSUj\nA+saMxk5Q7GDFiOQU4wZOfMFD2LbJ0Dd6dzai4iIiDLOVCC3aNEi7NmzB2PHjkVZWQ5kpszUJnSW\nkbNY5Bo5IKkWJNpT86DOex4oLjE/XiIiIqIUmArkPvvsMyxatAjFxcWZHk966NtudXaMagk2BI43\ntZp8IAe/L9xgmIiIiCiDTLUfqa6uhk+fZswFSWXkogI5fUpUMQRyJqdWhRaQ2T3Rc1qxEBERUe9l\nKiM3ceJEPProo7jwwgs7bMN18sknZ2RgXWNyjZzaWbGDDF6Fxw1TK958wcbCzMgRERFRFpgK5Fat\nWgUA+POf/xxxv6IoWLRoUfpH1VVJVa0KGchZrYDfL4M7AFBViGSnVv2+8LmJiIiIMsxUIPfkk09m\nehzplWwgpwWAvALA7zT0kUuh2IGBHBEREWWRqTVygGxB8vnnn2PDhg0AALfb3aEVSY+RRENgmZHT\ngLxgw1/j1Kq+96rZQE4P/BjIERERURaYysh98803mDdvHmw2GxobG3H22Wdj+/btWLduHebMmZPp\nMabAbEbOGlwj548dyPm8QFGx+T5yzMgRERFRFpnKyD3zzDO48sorsWDBAlitMvYbNWoUduzYkdHB\npcxM1Wp0Q+DoQE6vWi0qSX5q1Uz7EyIiIqIuMhXI7du3D9/5znci7isoKIDX683IoLrMTCClr5HT\nglOr+XEycoVJZORYtUpERERZZCqQ69evH7766quI+3bu3IkBAwZkZFBdllRGTpMZufwCeb8SY2qV\nxQ5ERETUA5laI3fllVfikUcewQUXXAC/34/ly5fjvffeww033JDp8aXIzBq5ABQ1wdRqsI+cUlQC\nwWIHIiIi6oFMZeTGjh2Lu+66C62trRg1ahQaGhpw55134pRTTsn0+FJjtmo1WOwg/H4oVpvc1SEd\nxQ5cI0dERERZYCojBwDHHXccjjvuuNBtTdPw8ssv48orr8zIwLrGTEZOABY1mJELrpezWA2BnCVc\n7ODebe5pObVKREREWWS6j1y0QCCA1157LZ1jSR8tiYycFpxatVjl7g7GjJwQSWXkhI+BHBEREWVP\nyoFcz2YyI2fca9VikYGcsdgBSLL9CKtWiYiIKHt6ZyBnqmo1ELnXqqoCFlsogFP0gK6wKIn2I8Fi\nB66RIyIioixIuEZu27ZtcT/n17NPPZGpvVZFeGcHLSCzc9FTqwCUvHwIsxk2rpEjIiKiLEoYyC1e\nvDjhg6urq9M6mLQxXbWqBhsC62vkbB2nVvPyZaBnBgM5IiIiyqKEgdyTTz6ZlUG0t7fjqaeewt69\ne6EoCm666SYMHDgQCxYsQENDA2pqajBnzhwUFRWZPGMyGTm92EGNmZGDLU/u/GAGAzkiIiLKItPt\nRzLphRdewGmnnYY77rgDgUAAHo8Hr732GkaPHo1p06ZhxYoVWL58OWbMmGHuhJ1k5IQQMiOnWoCA\nP7hGLrr9iJ6RyzOfkeMWXURERJRF3V7s4HK5sGPHDkyZMgUAYLFYUFRUhE2bNmHSpEkAgMmTJ+Pj\njz82f9LOplaFFm7+qxc7WKLXyFnk/7Zkplb1YgeTxxMRERF1Qbdn5A4dOgS73Y7f/e532LNnD447\n7jjMnDkTLS0tKC8vBwCUl5ejtbXV/Ek7C+Q0IQM5RQkXO1ij+sgpxoxc7Ayb8HmB/d8AFVVQSisA\n9pEjIiKiLOr2QE7TNHz99de45pprMHz4cLz44otYsWKF6cfX19ejvr4+dHv69OkoLi6GxW6P+xjh\n9aJFtSC/oADC7wNUFUphEfz5BcgrKkae3Y72gnx4AZSUl6MVQElxMRQ1MoHpWf2/cD23ANZTzkDJ\nzx5CuwJ4ARTk5yMvwfNTfHl5ebDza5eTeO1yG69fbuP1y23Lli0LfVxXV4e6ujrTjzUdyDkcDmzZ\nsgXNzc3tkoPXAAAgAElEQVSYNm0ampqaIIRAVVVVcqONUllZiaqqKgwfPhwAMGHCBKxYsQLl5eU4\nevRo6P+ysrKYj4/1gtucTigOR9znFB4PoCrweL2AJ9gjzpYHAQUBjxcehwOaX06POt0eQLXA0XJU\n7sdqoLU0A/36w+92w+FwQHO1AwBcbW3wJHh+is9ut8PBr11O4rXLbbx+uY3XL3fZ7XZMnz495ceb\nWiO3fft2zJ49G+vXr8df//pXAMDBgwfxzDPPpPzEuvLyclRVVWH//v0AgK1bt2LIkCEYO3Ys1q5d\nCwBYu3Ytxo0bZ/6kna6RC8ipU0UN7uzgB1QLlMJiKAWF8hg9+2axyIrWWJWrPr9sT6I3APb75XQt\np1aJiIgoC0xl5F588UXMnj0bo0ePxtVXXw0AOP7447Fr1660DOLqq6/GE088Ab/fj/79+2PWrFnQ\nNA2PPfYY1qxZg+rqatxxxx3mT2hmjZyqBtfIiVBDYGXmbTJwA8LFDhYroFhiFzz4fcE+czJwEz4v\nkFdgro8dERERUReZCuQaGhowevToyAdarQgE0lOdWVtbi4cffrjD/b/4xS9SPKPZqtVgIBfQAIsF\nis0wdRrKyFmDjYPjBHK2PFn1qt9OUBxBRERElE6mplaHDBmCTz/9NOK+rVu34phjjsnIoLqs04yc\nFszIqYaGwJbIY4xTq6oldnDm80Zk5ODzJbcTBBEREVEXmMrI/ehHP8K8efNw2mmnwev14umnn8Yn\nn3yC//qv/8r0+FLT2cym0IJr5JSINXIRVFVm6RRFBnOxso9+n9yL1dkauh2xZo6IiIgog0wFciNH\njsSjjz6K9evXo6CgANXV1XjooYe6XLGaMZ0FUtEZuUBw31UjRZXTqkAwIxcrkPPLqVQ9A+iLXDNH\nRERElEmm249UVlZi2rRpmRxLGplpCBzMyGn61GrUl0I1BnJq7IyczwcUFIYDOb8PKLEzkCMiIqKs\niBvIPfHEE3JasRO33HJLWgeUFmamVlW92EGD0AJQ40ytApD/x1sjV1oW/pyfGTkiIiLKnrjFDgMG\nDED//v3Rv39/FBUV4eOPP4amaaisrISmafj4449RVFSUzbGaZ6bYQTFOrQY6Tq2qqtyyS/84xtSq\niF4Tx0COiIiIsihuRu6KK64IffzrX/8aP//5z3HSSSeF7tuxY0eoOXDPY6L9iGosdgjEKXYwrJGL\nU+wAW56cngUAnyx+YLEDERERZYOp9iNffPEFRowYEXHf8ccfjy+++CIjg+oyMw2B9YxcwjVyhubA\nsbJs/uidHXyyITAzckRERJQFpgK5YcOG4c9//jO8Xi8AwOv14i9/+Qtqa2szObbUdbpFV3CNnL6z\nQyAQ7hunUyzh4M5ibmcHVq0SERFRNpmqWp01axYef/xx/OQnP0FJSQmcTieGDx+O2267LdPjS01n\nxQ76GrlgsUPchsCdVq16Q+1HhBCyHx13diAiIqIsMRXI1dTU4Fe/+hWOHDmC5uZmVFRUoLq6OtNj\n6wKza+QMxQ6x1shZjRm5WFWrPii2/HAQp0/HMpAjIiKiLDA1tQoATqcT9fX12LZtG+rr6+F0OjM5\nrq7pLJDSjDs76FWrCdqPxKlaDU+tBuTHVlvwWAZyRERElHmmix1uvfVWvPfee9izZw/ef/993Hrr\nrT232KEzQoQzclq8qVWLiapVvdhBBHeLsASzfAzkiIiIKPNMTa2++OKLuPbaa3HOOeeE7tuwYQNe\neOEFPPzwwxkbXMpM9ZFToKgKNGMQZhTRRy5BQ2B9i67gOeMeS0RERJRmpjJyBw4cwFlnnRVx34QJ\nE3Dw4MGMDKrrTARyEX3k/ImLHRJVrdry5Dn0LJ9eQEFERESUYaYCuQEDBmDDhg0R923cuBH9+/fP\nyKC6TDNZ7AAlcbGD6TVyWjgjp3CNHBEREWWHqanVmTNn4pFHHsHbb7+N6upqNDQ04MCBA/j5z3+e\n6fGlyOQWXaoSnhaNysgpg48Fxpwhb1gsQCAyOBN6AGicWlUtLHYgIiKirDEVyJ1wwgl44oknsHnz\nZjQ3N2Ps2LE4/fTTUVJSkunxpaazPnLRxQ4xMnLKoGOgDDpGfqxaILQAFOMBfp8M8PTATc/yMZAj\nIiKiLDEVyAFASUkJJk6cmMmxpJG5Yodw+5EYa+SMYjUE9gXbjehVqqFiBwZyRERElB1xA7lf//rX\nuOeeewAA9913HxRFiXncAw88kJmRdYWZPnIWQ6sQvx+w2eIfH6sSVe8bpyjB/VoNGTkWOxAREVEW\nxA3kJk2aFPp46tSpWRlM1mjBqVQ9I+fzyOrTeCyRxQ7i03/ItXG2vGDgJqKma2MURhARERGlWdxA\n7txzzw19PHny5GyMJX066yMXCIRbhWjBjJy1s4xcODjTNq6GUtlP9pmLmFpV2UeOiIiIssbUGrm/\n//3vqK2txZAhQ7B//378/ve/h6qquPbaazF48OBMjzEFZvrIBadWfV7Alhd36hhAx6rVNieEohim\nVlnsQERERNlnqo/cyy+/HKpQXbJkCYYPH46TTjoJzz77bEYHl7LOqla1gJwuVRTA40m8Pg7okJFD\nmxNobpSPU9SonR0YyBEREVF2mArkWltbUV5eDq/Xi3/+85/4j//4D1x++eXYvXt3hoeXok6KDUQg\nAEXPyHk7WR8HdKxabXcARxtlRk41TK0yI0dERERZZGpqtbS0FAcPHsQ333yD4cOHw2azwePxZHps\nqes0I2fYosvrTrw+DoidkfN5gX4DDVOrsthBUVVorFolIiKiLDAVyH3/+9/H3Llzoaoq5syZAwDY\nunUrjj322IwOLnUm18ipiszIlRYlPt4SzrIJvw/wuOX9Vmvk7hCKyi26iIiIKGtMBXKTJ0/GWWed\nBQDIz88HAIwYMQKzZ8/O3Mi6orOqVS0Q7iPn9chWIokYM3LtznDbEqtxjVzA0Ecu/Pxi5+eAzwvl\npFO6+KKIiIiIIpne2cHv94e26KqoqMBpp53Wg7foMtl+RFGCzYBNBHJ61WpbG1DZD2g8DMVqk9Wu\n+vSqonTIyIkd/we0ORnIERERUdqZKnbYtm0bbr75Zrz99tvYuXMnVq1ahVtuuQVbt27N9PhS01kg\nJwztR4DO18hZDBm5NgdQVgEUFIYDQEWR23yFih0M6+k0DfC4UnsdRERERAmYysg999xzuP7663H2\n2WeH7tu4cSOee+45LFiwIGODS52JjJwluEYOMJmRM0ytFtuBktJw2xJFNTQZjlojJzTZ4oSIiIgo\nzUxl5JqbmzFhwoSI+8aPH4+jR49mZFBdZqaPnBKcWgVM9JELZ9lEmxNKUTFgL5PFDvrnA/7gzg5R\ngZwmILzu1F4HERERUQKmArmJEydi1apVEfe9++67mDhxYkYG1WWdtf8IaMGGwPLlK7b8xMcbqlYj\nMnL6lKyiRGbkjM8vAuEqVyIiIqI0MjW1+vXXX+O9997DG2+8gcrKSjQ1NaGlpQUjRozA/fffHzru\ngQceyNhAk2ImI6daksjIRa2RKy6B4rIbAjlDRi66/YimycpYIiIiojQzFcidd955OO+88zI9ljQy\n0UfOYih2SKpq1Qn0GwDYDW1LVBUiEJBr7jpMrWpxM3La6pVQxp0LpbTcxGsiIiIiimS6j1xOMdNH\nTlENxQ5JVK0Gp1aV8d8JB4L61GrMNXLxAznxt3egHHMcwECOiIiIUpBwjdzzzz8fcXv16tURt+fP\nn5/+EaWB6DSQC2bkkHzVqix2KIFSWgHFXhb8fHT7EXOBHFzt4UwfERERUZISBnLr1q2LuP3SSy9F\n3E5nHzlN0zB37lzMmzcPAHD48GHcc889uP3227FgwQIEjJvWd8ZUQ2DjGrnOAjlDbziPCygoiPy8\nkqBqNVH7EVd7ZM85IiIioiQkDOQ6zWyl0VtvvYXBgweHbi9duhSXXHIJFi5ciOLi4g7ZwITMTK2q\nahJ95AzBWSibF/X5gBa7alUTgNfd4WspNA1wt3NfViIiIkpZwkBO0TNWGdbY2IgtW7ZEFFRs27YN\nZ555JgBg0qRJ+Oijj9L3hFpk+5HO1sgpFguEnjnT18JFHCCnVuV2XZaOGTkhAJ838jFuV3iPViIi\nIqIUJCx2CAQC2LZtW+i2pmkdbqfDH/7wB/zoRz9Ce3s7AMDhcKCkpASqKgOmqqoqNDc3mz+hqYxc\nMlOrhqpVLbi9l1GinR1CU7IeIM/Qr87VJv9PZsqYiIiIyCBhIFdWVobFixeHbpeUlETcLi0t7fIA\nNm/ejLKyMtTW1qK+vh6AnNKNnopMKjvY6Rq5qL1Wk6laFcEpVCPjzg6KEjW1GvzY4wLshq+XHsgx\nI0dEREQpShjIPfnkkxkfwI4dO7Bp0yZs2bIFXq8XLpcLL774Itrb26FpGlRVRWNjIyoqKmI+vr6+\nPhQAAsD06dNRWJCPPLs97nO2W1RYiopgs9vRCqCwtCzh8b7iEngUBSXB44vtdlgMx7daLLBZLdDy\n81Bgt6MNgD34+TaLBT4AxVZLxGP8AJwACvITj7WvycvLC33tKLfw2uU2Xr/cxuuX25YtWxb6uK6u\nDnV1daYfa6qPXCZdddVVuOqqqwAA27dvx5tvvonbbrsNjz32GD788EOcffbZWLduHcaNGxfz8bFe\nsMvlgsfhiPucmscDn88HT7vMirn9gYTHC48HmtcDh8MBzedDm8sNxXC8JgS87bKVSJvLBc3vhyP4\neS1YsdrW3ASlvDp8zsYGOVanM+Fz9zV2uz30taPcwmuX23j9chuvX+6y2+2YPn16yo83tddqd5gx\nYwZWrlyJ22+/HU6nE1OnTjX/YNNbdJnd2cGw7i3W1Kq+Rk6Js7MD0KGXnAhNrbJqlYiIiFLT7Rk5\no1GjRmHUqFEAgJqaGjz00EOpnUh0EhzphQlm91o1rpELBGTFq5G+Ri5G+5HQWr/oXnLtXCNHRERE\nXdNjM3Jd0kmxg0g6I2eJ7CMXq/2IFq9qVfadEx5X5GNc7eHPJxD45ZzQNCwRERGRUe8M5DqjaVAs\nSTQEtoS36JJTq7EaAgf7y8XqI1dQ1HGbLhPtR4SmAfv3AI6jJl4UERER9TW9M5Azs9dqsn3kQlOr\nWsepVaWTvVYLi4ADe6G981r4/va2yCnbWFqbAb8//l6tRERE1Kf1zUAutEbObB85NZw506dQjdRE\nxQ4BoKAI4qP1EFs+DN/vageKShIHcvqUqpuBHBEREXXUNwO5ZDNyxulSocnbEZ+P2tlBGIIzTQMK\nC4GWJpld04fY3gaUlCZcIyeaZCAn3O2Jx0dERER9Uu8M5DrrP6IF5LSmnpGzdrZGzpBlizO1KhJN\nrRYUBR9rCPBcbUCJPbz1VyyNh+X/nFolIiKiGHpnIBcnjhOaJtuBhCpMTbYfMa6R0+Jt0aUXO0QF\nckJAKSgM3m8M5NqB4tLOp1atVgZyREREFFOP6iOXNnH6yIl3lgMQwWlQi8zKnTAaSnRgFi2iajUQ\nY2q1k2KH/oOBMeOAg9+G73e2QCmt63xqtf9guU8rERERUZQ+lZHDgb1AmyOUVVNUCyx3/rrz83Va\ntRpeI6cHhcKwpk6pOxXq9GtksAdAOFvl8WWVnWTkDkMZdAzgZiBHREREHfXOQC7gg/bysx3uFk0N\nsuAg2KTXtIiq1VhTq8GMnF48oajhggu9gbAxq3dgHzBgSOR9sTQdAQYNDU2tis8+gvi/j82Pm4iI\niHq13hnItbdBrH+v4/1NDYDPF64wNStYtSqECFatxs/IAYicXtUrZA0948SBvVAGDo3M9MXicQHl\nVaH2I+KTDyB2bjc/biIiIurVemcg5/cDAV/EXULTZIbL74u9O0MilmChgj4lq2fedMZiB/12KJAL\nBngWa2hqFQf2AQOHRFbDRhHB51MKi0Pbe4kD+2Qg2g2ExwOxa0e3PDcRERHF1jsDOS0A+P3hDesB\nuUtCwC8DuUAgualVfa/VWNOqgJxS9fsjM3IiairWMI0qDu6FMmBI5B6u0QIBWbFaUAi4XfK1HNwH\neL3mx51OX+2A9tcXu+e5iYiIKKbeGcjp684C4Qa8+i4Jwu+XgV709GgiehAWL5BT1cgdH6KnVhVF\nBm3GNXIDh4YyeUILhIsj9DH6/YDFBuQXyDVyzY2y6MHnMTVkIYQ8T7r4fRENjYmIiKj79dJALhhw\nGHdSaDwsd3BIOSMXCAaAMR6nr5EzFjuEqlaFYWpVBm1oPgJU9w+dV7z5MsS6t+XhB/ZC++098jXo\nGTmPGzi4V57PbEbus48gljxh/jV2xueTXzsiIiLqMXpnH7l4GbmagamtkdMzbFqgY+sRILKPnPF4\nIGpq1Q/4/IDFCsVigbAEp1bbneHHtjmANqcMQq1WmZFzu+T6uPIqCJPBlHC0QLQeNf8aOztfwM+M\nHBERUQ/TZzJyaG4A+g8KZuRi9IJLQFEUGWj5fPHXyMUrdhB6zzpVHufzhLOBepFEwA/4gpk2n0/e\nDsiAT2bkXLIH3rHDAa+5qVV4ventP6ePi4iIiHqMXhrIBTNyxkCurQ1KWYUMSLQk248AMoPn98Ve\nW6eqiTNy+mMsFhmIWa3hcwYLM0LVqD5veD1aqNjBDXFgH5RjjgsHfJ3xutMbyOmFIkRERNRj9O5A\nztCCRHhccm9Tvy/c2y0ZFosMtmKtrQutkTNWrUb1kQNkhs3rkUUM+nGaFgySggGaHsT5gxk5q00G\ne9/ukYGc2TVyXo/czzVd/JxaJSIi6ml65Ro5ESsj53EDJfbgzg6BFAM5b8xMnqIocg2ZGqPYwVjp\narEAnnBGTrFYoGkBKEAoQBN6UUHAJ9fSKQqQXyiDvX4Dk8jIeQB3OgM5FjsQERH1NL0ykAuvkTME\nHm4XUGwPV60mO7VqscogKu7UaoKGwHo1q2qRAaXFanicBqFpCLUY9nmDDY0D4SnYgkKgvFJW3RoC\nOeHxQMnPlx97PVDy8sNj8npC/ec6NDBOBTNyREREPU7vnlqNysgpxoxcMu1HAHm8P8HUqjHLZ2z0\nq7cfAcJTq9Fr5AIBmYkDwpkvfY0cAOQXyAbCeeFAThzcB+2uayGC+7Bq8++B2Pe14fV65BjS1UCY\nGTkiIqIep5cGcjGqVru6Rk6NP7UKVYnsIxer/QgQLHZwhwM0i6HYwW+oWtW0YHVrOJDDwKGALT8c\nmB0+ADhaIP72jrx9tEk2DQ4SXnfwdadpetXvl/vNJtobloiIiLKqlwZyMfrIuV3BNXI+xN2hIRG9\n2CHW1KoxgNP/1wMeERnICY8hQNMzd4GoqlUAcBsCvmI7lMHHBDNysv2IaGwAho2EeP91eUy7E8LR\nGh6THvC50lS5qmfjOL1KRETUY/TSQC4yIyeEkGvTiu1yalOJsfF9ZyxWCK8n9tSqHqjp5ywtB1qa\n5ccdMnKeqDVywT5yen+4YMAkPG5ZsQpAve4/gZPHytt+v9zOq/EwlFPGAy1HIdzt8vU5jYFc8Hzp\nKniIleUkIiKibtVLA7mo9iN+vwyyCgqD23Ol8LL1NXIxGwLrmTgZ5ClVNRBNh+V9mhbe1iveGrmI\nPnLB/z2uUMCnlJRCUYPBpy1PHtPUAFTVACWlwKH98jHOlvCYvB4Z+KWrl5xxDR8RERH1CL0zkNOi\nih08LiC/UO6uYLEkvz4OMDW1quhBXmU/uSUYEKP9iHGNXIw+cvrUqscNJVb2zyanV0VTA5TKfoC9\nFOLgt/JzTkf4OI8bKKtIXy+5AKdWiYiIepreGcgFM3JCDzrcLlkwAMgsV7Lr4/TH+bzxq1aB8NRq\nVT+g0ZiRM7Qf8Rraj+j95owZOT3jZVwjZ5SXJ9e/NR7ukJETjqiMXFmFnHZNB1/Hli4i2N6EiIj6\nJuHxsAium/XOQM4fFRR53OFAzmrrQkYuXtWqGvG/nFoNZuRE9Bo5b2TVakC2H4nYaxWQwWdwjVwE\nW55c9+ZoBcorodjLZCBXUNhxjVxpRdqmVoWekTMUkGgLHwD2fh3nEURE1NuJpb8DtnzY3cPo03pn\nIKe3/jBm5AoK5cc2W/I95ACZRYu7Rs6wowMQmloVwXEoxj5yHjeU0BZdeh85vyGQ06dWw2vkItjy\ngMP7gbIKOfVaYoc49C3Qf7AM7nReD5TS8jRWrQa/lj7DGjl3O9DmiH08ERH1esLlipwNoqzrnYGc\nnjUKGNbI6YFcqhk5VZXZtHg7Oxj/r6iSVavRgV+HNXIWw9RqsNGv35iRix3IiYPfymARAErKgMP7\nofQfFMrIySpdD1BWnr6qVX/HjBwCAfl6iIiob/L70ldURynppYFcVLGDO3pqNcU1col2dgDCU6tW\nG2AvA5qOdAjkIlqY6P3mAv5wWxGfof1IrIxcXh7QcBBKRZW8bS+VBQ39BgCuNrnPrN8vCymK7en7\nAYuVkfP7QjtLEBFRHxTwp2/mh1LSSwO5yIX5wuOGEgrkUi126GRnByA8xQrIgocjB6MCuRjtR/Q+\ncvp4Qw2B42Xk8iGOHJIVqYDMyAGy6KGoRE51ej1AXr7MQqaratXvk0FwdEZO71dHRER9j8+Xvpkf\nSkkvDeSidnZwR02tprRGLhjImdnZAQBKSiGcreEecvo5vB4gtEbO0H7EapU/EH6fHGuijNyRQ7KQ\nAZD7xwIy+1ZSKqdXg4GcUlAE4UljRq6gMLL9SCAgp62JiKhvCvg5tdrNemkgF7ULQbCPHICUM3KK\nJRhomZhaBRDMvkVm8BQ1wRq5giIZKPp88mNP7IycYsuTPer0jJxdZuSUohI5zepolc+Rlw8UdszI\nidajEN/ukVOwydADTGND4IBPrsUj6gFEe1uowKjj55xZHg2li/D55NaG1DP5fOlrc0Up6aWBXPDN\nPFTskJ72I6Kz9iOGbJ2iZ9iM0616Rs5q2KJL3/s1vyAYyHmBwiK5ri9e1WrAD6Vcn1otlf8Xl8ig\nznE0mJErkFk6YyUrAG3xI9B+NQdi84bkXn8wIyc6ZOS4Ro56Bu33vwF2bu9wv/C4od11HXse5iix\n/h2IN//U3cOgeJiR63a9M5ATWngnBkAGRQXBQM7WlT5yPihmp1YtVrnBffR9HuNeq8HpWqs1uGOD\nN3JqNV5DYCA0tWoM5JTSCoiWYCCXnw/0HwQc3h+ZpWhpAo49Pvm1bTEzcn6ukaOeo80R+xeK2wW0\nt/GXTa5ytQNtzKj2WH5f+tZiU0p6ZyAHyKnFgB/ai49DfLOr62vkVIvcRsvMzg6ADMKiplZlRi5q\natXnlWvmbDYZePp8QGFxwvYjAICySvmUVqv82F4mp1tbmyPWyKHYHt5lApDbeJVXRhYtmKGvkfN6\nEFj8cPg+ZuTSKrD44eSnvUnyuMLrYyPuD36POls7fs4k8c1X0N5gVqhb+Lx8n+nJ/MzIdbcYkUJ2\nNTY2YtGiRTh69ChUVcV5552Hiy66CE6nEwsWLEBDQwNqamowZ84cFBUVmT+xLU+29Nj+KXC0EZj4\nXQByrZtIeYuuOA2Bo/vI6cf7YwVyhoycospfPPkWQ0bOK9e2CS1cFBHxuvLleYpLwk//q9/Jwoay\nCmDX5+GqVQAYOAQ4uA/oN0D2qPO65W4Qye6ZGvDJ6V/HUWDzRpnl0zS+waaR8PuBzRvlm6Lh+pJJ\nbjeE3w8l+n79e9TRItv0pEAc3AfxZcdpW8oCn5dtjnoyvw/g5elW3R7IWSwW/OQnP0FtbS3cbjfm\nzp2LU045BWvWrMHo0aMxbdo0rFixAsuXL8eMGTPMnzgvXwYrrjYgLy/cfsSWah+5JKtWY2bkrDJw\nM2bk9GP1QM7nk0GZfn80mw0orQjvFgHIzBsApawCWkuz3D0iGMgpA4dCHNgLZfQ4mY0rtgfbiCSZ\n9fH5oRQUAq3BDt5e+ZPLN9g00r+WDORS43HLPzhi3Q90KSMHt4tZh+7CjFzP5vdHLrmhrOv2qdXy\n8nLU1tYCAAoKCjB48GA0NjZi06ZNmDRpEgBg8uTJ+Pjjj5M7cV6+bL7r80K9+V5gxCh5f8rtRxJV\nrUZt0RU6Pirw0x9rXCOn3zaukSsMBmaxnisvL1yxGq2sQu4oYczIDRgCHNgnP3a2yDV1FktqGbmC\nIpnVAOS6Q4BvsOmkt3JhS5ekCSFkoBXr+1r/o8PRhUDO4+b3enfx+bgWtycLyJ0dWEzUfbo9kDM6\nfPgw9uzZg5EjR6KlpQXl5eUAZLDX2prkm7AtT/4FXlAIZdSpUIqD/dastthZtc5Y1AQNgWNMrcbK\nyKmGDJx+Tv22zSazW5qQFafG4yJeV76JQM4bCuT0jBwAWcFqLwtmBjv+wou3X54QQv6CzC8IH6P/\nUsvRN9h07g2YtnN5GBybIQIBiOjF7z6vXI4QK5DTW1d0JSPncTHADhJ+f3bbuTAj17P5/KF9xKl7\ndPvUqs7tduN//ud/MHPmTBToFaYm1NfXo76+PnR7+vTpAABLURHE0Wag2A673R76vKuoCIG8fJQY\n7jPDVVgEb8APW34+iqIe6y4shBtAsd0OS/Bz7qJiBI4cQsBiDT2/q7AIHgCFJXbk2e0QQqAFgGqz\nwVJYBKsWgMtmQ35xMdwACktKYYt6Lv/IUQgUFCA/xvhFURFa2hzIa2sBKqtRaLdDO/4EOA4fgN1u\nh9fvha+8EpaiYgihodBwDq25EY77b0bpM693PK/fhxaLFfnFJfC2OaABKLKocAJQfd6Ir29X5eXl\npfV88bTc+ROUzHsWanll1881ewbsi/4CpTCJNZwx+A8pcAIoVNDhuueCbF0778d/h+9v76D4P38Z\nuk9rDaAVQIHV0uFnw6sC7QDyPK6I7/lkuDQNXo87K6+vu5i9ft4P18H34VoUz74/C6MC2oRAIM3v\nM71Rtn7+jIQWQAsElBI7SiwqVF6jlC1btiz0cV1dHerq6kw/tkcEcoFAAL/97W8xceJEnHHGGQBk\nFu7o0aOh/8vKymI+Nt4LDlisMjtV2Q8OhyN0vyYEhBAR95mhBQIQXg98Aa3DYzWv3Farrb0dSvBz\nWvNzzQYAACAASURBVECDCJZkO0L3yXVpbp8fHv0cqgpNUSEUBf6jTYDVBk+wXYjL54M7epyDa4HB\ntfDGG39RCTwfroP6w5vgdzggVCuE24XWIw0QRw4DhUXw+/2AxwW/4Rzii+0Qjla0thyVjYsNhLsd\nsFrh0TSIlmYAQHtzk3xNrvakv5aJ2O32tJ4vFuH3Q7Q0w3lgH5RYBSXJnMvnhWhzwNF0BEppnEyp\n2XM1NQIAXEebOl73HJCNawcA2uGDEEcORzyXONIAAHC3t3X42dBajgIWC7xNRyK+55N6TkeL/Dlq\nbYWidCin6BXMXj+t6QhE4+GsXGsACLjagTS/z/RG2fr5MxIeD2C1QeQXwtnYAMWWn9Xn7y3sdnso\nCZWKHjG1unjxYgwZMgQXXXRR6L6xY8di7dq1AIC1a9di3LhxyZ00Lx9odwLRla6WrqyRizO1Gmtn\nB2uM4y1RU6uAnG612uRUcHub/D809ZpCnF1WKduNHHeiHJqiABXVQFODXN9WUhpR7CD27IS27DkI\nfR2dywXt+QUQR4OB2j/WQax7Rz7Gag1PT3lccr1eLk6t6q+hkzVTIhBA4PEHIdoSvDnqU3y+NCz2\nDU5NCHfXpihEmxPa04+m/Hhtw2poH7zfpTFklKu94zSpPu0Za2rV7QYqquWWealyu+XPTLJrS7tA\n7P0a2qsvZu35TPN6ZOFUtvi8oXWO1MMEfPL3QkEh4OodSw/EkUMIPPVITq356/ZAbseOHVi/fj22\nbduGn/3sZ5g7dy4+/fRTXHbZZdi6dStuv/12bN26FZdddllS59WrNlFYHPkJqzW1NXJqsEAgZiAX\nq9jBEj+QMwaSFov8pwdyVmu47UisNXKdKSsHjhkuK0x1Vf3ktl7OVqCkTD6fHsgd2AuxYTVw4Bt5\nbLtTtmw5GAzsvvonxD+3yrFYbYD+ze1xA0UlubluKPgLvbNf7GLT34Gtm8IFHrG0py+QE+laI9fc\nALF1U+qP374FqN/StTFkkqutYyCnB7/xih2qarrWR07/Ps9i5arY/w3El/WdH5htHnfin4l083kB\nrzfu9mvUjfw++XuhoBDoLdt0HT4AfLIB2P5pd4/EtG6fWj3xxBPx8ssvx/zcL37xi9RPHGycq0QH\ncjZbuMggGXrwFSsINFvsEF21qj9Gbz/ScjQyI5dCIKeUVQKDjom8r6oGoumwzEANt8uAUS8Xb2sD\n2hwQn34kb7vaZTDX0gwFgGhpktk8izVi3MLjlkFySzOEpkW0QzHSNq6BMvbscGAdh/aPdVBOPRMw\nscZC1G8BBgyBUtVP3na3Q2z5B9SzpnT6WADhX0JRv4xEYwNwYC+Uk0+Xt99+NXKHkFj0jJzfa+65\nE3GnKVhok7sYCL9fNoxOkjiwT/YITJH2wf+DMv47cl/gTGhvA1ztEH4fFGvwjx79axar0bXHI38G\nYmzfZVooyHbJPY0NxD+3AmWVUAYMTv38sbS3hf9QyBCxeSMwYpTsLWmW1wO0OSG0QIdlGBmh//x5\nPeHG7gbi88+A6v5QUuwR2FeJ3V8CqgrlmOGpn8QfLHQoLOo97XnanUBBIbS3XoGl7rSUTiH27Qa8\nHijHnRD/mK+/AGw2KEOGpTjQsG7PyGVMKCMXNbVqtaX25qMHMQl3djAGbbYY7Uf0AM2wLku1BNuP\n2CBcbTLQ1D+fwtSqcsE0KOd9L/LOYEZOOFvlG7bVGu4jp08btjTJZqmtzXLcwbVwaGmWU7XW4O4T\nOn0LMVvi6VXxl6eBf25LOGYRCEC89DtAr67thPb/3oT4P0M7mm++gnhhIcTh/aYeL/RpoagMjdiy\nEdq7y+XHHg9w6FtgyLDEPZL0r19aplbT1H5EH5OrLemHCk2Tr/vwtxBa8jtMCI8b4qVFwJ5dST/W\nNH07IOP18yTIyHnc8megq33kjM9joP2/NyHWv5v6ueNpc2R8ayrt5WeAnZ8n9yCvR1YItyX//ZUS\nX/CPpDjTq9p7r0Ns+yQ7Y+lFxN/egfjob107id8ng5GCotCa8Fwn2pxQTjtLzkal+L4uPvmg0/cE\nsWE1xIdrUzp/tN4fyBVFT62m2hA4RtZNF2oIHL1FV/Req7HWyKnhPnLtzuBatC4EckNqoVTVRN5Z\n2U8GYw5DHzk9c9HuBAYfK//SHTgU4sgheX+rIZDTtwszFga43XJ8+QVx32CFqx1ob+t8emjvV8H2\nDibX2zlbZZbQeFtoEKteM/n4FhlgR6+RO7BPTkHr5ywpC2+dFkeoDYMvHRk5t1x3aGJqVV/DmHBM\nqQQBzUfkHz8lpeGvRTK++icQCIRb3mSA0ANUQ2AWmvqMlZHzyjVy8MidH1LiCV6bWFmHpiOZmQJt\nd8rseIbW6ojGw3LsyQa43jS0c0mG/odUvLWjTQ2drnfNBOFul4VgOUoc2Nv1a6hn5KKmVhOuK+4h\n4r6HtjuB0nK5HMNkcqADZytEUyfvn85WoOlIaueP0osDueC0TtTUqjKkFhh5cvLnM26rFS3G1Kpi\ntco3oFh95CKmVi0ySKrsB+zfC9jywtNhqayRi0GpqoH45iv5S7qqJrh9WPAXWpsTyviJUCb+K5Si\nYkAP5Fqa5S8QPTNntYXHpagy8LJYZMAcLwBragAUpdNfcuKL4OfNFk44WiL2jxWOVuDUMyE++pu5\ndTSOVpl9jM7IHdwLNDXIczhb5BSa1dZJRk6fWk1TRq6s0tQUhfbft0LowXa8MaXyZnpgLzBwKDBg\nqOkMqZH4crsM7vU1lpngapPfe46ojJyixL4OnuCUXL+BwFc7UntOd/DaxMqWNh4G9n6V/l1O2pwy\nc56hdaihn7tk17vpP6fZWifn88r1uPEKHpoa5M9rlol3lkOsXNb5gT2QEAI4sK9rTbKB8Bq5ouLQ\nMgCxawe0e27s0UGuEALa/beEExdGbcEdkAYOSek9EAj2Fu3kD2HhaJF/TKVBLw7kYk+tKsedADW4\n72pSYhUqhE5qdmeHGAGaRQUsFpnKLSyKnFpNUyCHyn5y7dcZ34FSXALFag1tzC7aHFAGHwv1iquB\nwuLQN7bQM3GKEtzWyxoel71U/uLUM3LxfoE1HgaGnySnPhNNv365XZ7LbCAX/deOsxXKwCEyaO/s\nryBAvukPHNKxke+BfQCE/AXlaJVZKVte4iAtjcUOcLvlX4KdVK0Kv1++2cT7i1IP4FJYXyUO7IMy\nYAiUgUPClczJPP7LeijjJ6b0WNPa24GqmshMktslf9nH2HpOeNxQ8gqgXDAN2luvpPacntjXRug7\nPhwzXGYj0yiU1cjU9OqX9fK9IcmsjEhHg+VkeL1AiT3mH4yi3RmsYu6GDFDzEYj932T/edPB0SLf\nJ9KRkbNagdIKucYbgPh2j1x3ve6dNAw0Q1qa5PtjzEDOCRQXp/weCEB+PzY1JM6mO1tTm/WIofcG\ncsF+Nkr01GqqQttqpaHYIar9iGKR2S7loiugFJUY2o90rcdZSEUVUFQM5bv/Hh6HcWq1KLivZ2Ex\ncOSwzNq1NMt/ZRXyn95+BJC7Q+hr5BIEcqKpAcqgoTLDE2fNlNA0YGc9cPxJEcGe+Oc2aK//qePx\nPrkdTMQPgKNFToMONGxHlojTAWXg0NCbmPbuCmir/ioDtsG1QOPhyPWEwSBNW7cK2sY1kecKrZFL\nw9RqMCMnDBkYbc3/InDnTGivLw0fp08ttsTJyOl/GScZAGhLFkG8vhQYUgsMHQbxxp+g/eEJ048X\nQgBffwHlO/8S+ktWW/8utA2r5ecbDkJ75rdJjSkmVxtQMzAyI+R2y/1p462Ry8+HctZUYN8eiIPf\ndvoU2pJFkb+k3fq1ifpeb2oAKqqhjKiTf5CkU1emyGMQDQehPRv++otdO2SBkaMV2t/fg3fdqoSP\n11b9FWLLh/IPrrLKLrVz0Vb91Xxltd8r/6iK9T4TfB9IdXcV4fMhMP+e1NaDtjTHzTxrTz8KkWRW\nWnz6D2jvLodoOgLtqXmh+wOLH+l8ms6kwOJHIFqPyvdJe1kaAjmZkVPKK2RhHAAc2Adl/CSIN/+C\nQIzMnNi2OeZ7e7K0v62Cluoas+DvCREjkBLtTrkTVIqzEgDke5PPmzhr7XQArc0pr8Mz6r2BXLz2\nIykKFUiYbj/ScWpViVm1agkFeMrE70L56ey0Z+QUqw3q/CXhqi7jFl1tzvAG7UXFQOMhGXjpgVyp\nHsgZMnKl5SYzcg1AZT8o/QdDNByMfczBfUBBEZT+gyLOIw7vh/jn/3U83hncZszZAqFnypwyexax\nHVkCwiEzcqE2JDu3Q6z4o9yXtqpfeKqmpBSK1RZ+np3bO07NtbUBiho+pguE2wWlrCLy6/DJBijn\nng/xyQbDc8rgUcQL5NqcMoORZAAg6rdAnfMglHMvgHLWVKizHwhPv5l5vLNVfi8fM1xOzXs9wLd7\n/n973x4eV1Wv/a49l71nJskkkyZN0rRNm7b0TktbQFooFxEoHg8il6Pn6MdF/T4tgnj5VPSICiIe\nEUFQzlHL5cA5KngUQT8FFQtYQGhLgV7TlN4SmuZ+m2uSWd8fv7323jOzZ2ZPMmmTsN7n6QOZ2bMv\na6291rve381oM757B/iBAh3r7RANg1XVpgU7REk5to1ajQGqBubxALPmUjBHvmfZ9Tr40YP0/8PD\nQHIErKQs0+zd1UFjpr4BKLY6Y/RjkdSm1kPgO14F15Oio7ONNlCD/UDzHoy8k/vd4a+9SOQ2EQdC\n08ZkWuXNexwRas45baQCpfam1e4OMnmPlpAc2g/se8tQkwpCXw/QeTzD2sBjEXJ2LzCFD397H3D0\nECl9218CjwySKvv6y0UZW5xz4M3X6PzHjgLzFo3dt1AocsEKoF9X5NqOgq1ZB+W7m8h6cyBVqeZH\n3x57kAUA7N8zetOn+J2daTNM4gatJ6NU5Ab6gPJQVsWNc05jtqyCXJ7GiClL5JiaJWp1tBAkzC7i\n1VDkLMEOdgpervQjoOS9zKp8Fcu0CtAiZr03YYKKDNIkCVBbDQ4QqYpFwbvawYIVRC4s98VKykiZ\ncLnym1Yrq3VyZO8LwJt2gc1fQsTbOiEOJexfgoE+IpLBENBDlRD4gK6e1dY7880a7AerqQcGB+iF\n6urQ00fUg4WqaZc2MJDhI8e72jN2cDwyQPczNAS+7aWx7ZzjMZoQdbLAh4eAQ81gF/4j0Nttqg6C\noGUhcjwySP5gkUEkX3jG0Y6Px6LUtnPmgykKpZOZNZcm/Rx+h7zzOKWwgO48HAzRhqWqBmhrBRJx\ns82adpkRp6METyYp8Wh1TeoiFIsCgRJ7Qp2IG/WLWWVVXr8UPjIC9HaZZvpEDFB95GeX5q/Gu9vB\nQlU06ecZe7xpF3jLwazfJ1/7W6rPktGPxYkO5V0ddP89nbSIeFSwadOBgT4atzlUZR4JA0cP0r0k\nKJ3LmMyZfT3OfP9GhslqoflsE2XzrnagYd6oiRxv0iPqR+Or1NdDm+CmneA7XjE/P7AP4ChoE0T3\n0EFqfDxK+Tqb99A/zm2Vo4Ix0EtzWSQMtLWANS4EEmMIAAJMH7myCtPV41gLUDuT3HhOWWa0A9+9\ng96Rvh6g/Z3sG1GH4N3to8+5eayF0nTZrUtC3KidQdH7BbYPTybp3Z3VaHv+5N+fJ5OuxwNMrx3d\n2EvDlCVyIo9cRtTqaJHLtGqkH7GQPLcdkbPzkXNlRqcaUavjlKNJV+Q458buA4CpXgZKSfVqOUjE\nosyiyLk9Rs4g5nKDVddm9RPh3R1goSoic9kmov27gfmLaaFNIXJDQG+X4ctnQFffDOXM8plTRQ6D\n/UB5JQXERCNAdzuUjbeAvf9qoHIavVi6IgeP1/R/6+rIfOnCg9RGQwkk//p78KfGYDIQRE5MTocP\nAFU1JPM3nkJtBZgmtxyKHKuqAQZ6wf/7PygqOB+OtwLT61JS8zBVI6Kew5Gc79yO5MM/BI+Ekezt\nJlIL0G50oE83g7eTCrR/FxCLjC0KMx4j0l9WkZF+hPlLc5pWAQChHGNRoLeb8uiJvo6Rome7aenq\noPFdMwNoP5bTRMdfezFnugH+5GPA4WbzA70fixYBKJ7nWIu+yaqiMT7YT32Uyz3gwF4iF1EicpTO\nZQwBBv09zvKODVF6i6zR8V0dYLPmkt/sKMYV378L8PkLdjrnyRFSSuctQfKR+5H89aMp52RnnAPs\n31XQPfHudmoTsZFr2kUkyOcvymJvjPtomMZ4qIrm+rGYV62KXF8PbfD7e4Fp0wGAXA6aicgl//Rb\n8B1/p3nL5SYfzbE+zyiJHNfzhXK7qNEIBTswzQ/MOQX8tRcLO3k0DHg1WhvtTLdPPkbnLA2ScFAE\ns/nUJXIiGrRIplVTkcuVfiTNRw7IrPZg/U78Jl1506tPjFuyTZdepSIRp0ALXa0z/AkDJUCwgiYR\n3UeOudx6e/qJzCXigMut+wZlvpD87X1ARxtQWQ0WqrIdrGJxZwuWZpb7GorTYqrv8sQLIXzXWMii\nrIgIU91HTkyevL/XdMy2XNMwz5aU0QSZiAMz54JV1xovluEj5/EAwwkilH3dtGu2Ts7hQSItw0Ok\nPr2yOWVR4Jyn/t3VkV3hikUpobOuVFDbUB1hazvz8ADVN7QQOZ6Im3mcwgNAVQ1FKo8Mgx9rAe/v\nobqwsSj4vrfo3/F39Htqp4mtdmbmPYX0HITZyE93OzAUB//r78F7uuj+AZ30RMns1K0TYF1dEcoP\nT2/LNKSPGR4eMNKjsNKgoVDyfn0BCZQYplUej5MvEGAqaoCeUzHPoqh/b0zy8SipcZpPV6o7Uo8N\nVRHpLSsH2tvA9++m9j2SRqATcVtTDe9qJ9W0o80gKzwRJ+JUHkoxkfOONrP/CkzAyrs7gNIgbXZ0\ntweUlhHh7u60VeSM927/TmD6DNr4xGNAqMrwkTOO6e4wiCyPx7L6rVE0fK/tIpwxzoYStJlStZRg\nB+Od6mqn+3J5TAJkUbB4y0FynUgmwQf7DR9HPjJC89vb+yjQLG1B5/FYbgLd30fmtxmzDKd5odzw\n/bvAzjyPcoNu/Rv1lUVpTZkPujtN8t9NxITHYkB5Jfju18F37wA77Sxj08oj4YJ9Xw2IcR2N6H5g\nJTQH9veA69YNp+CHD4Af2Gsk5WaqRuvDwSagutZ0I2pcCBw+QONbH3e8rxtYvMJU6g7tpzbav9uR\nryLv7iTlvafTMZHjQwlzPgBIkVxyWhbTatgQN5QNV4D/4VeFVRUZ6Kf3KlRFuejaj5n3kYjTpmn/\nLlOQKILaOoWJnAJ2zsWm2XCsyGFaNaoaWItpi0AF2/QjNgmBrbCaV8cDIiFweMBU4wDTDB0oBTvt\nPeRXNG8xmT4XrwDKK8HOuoB+H9PTj8xbTIPVopzx9mNIfv9rwJwFtBBlG6yRsOm4rqaZVhP6otLV\nDj48jORX/zctHCKadOYcYM8bdIxQ6UrLaeLXiVDy0R+D//V3qdfs6QJ8ASKvoSryw6uoMguhT68j\nfxSjLq0bGBomQllaTuZzq6krMkCm56EhmlQaF6WqLoebkfzWTcYElbz7a8Cu7fb9Eo9SiTWxQLce\nIfMmADZ7HmULB2iiqZlBxFK0+X/eD/7Eg/o96SY5oe4cO4rkpnvAX38F/KW/IPmzu5H81cNIPvAd\nCsP/109Tmbaa+sx7qqwCP7AHyX/9lD3p6uoAO/si8FdfQLKvGyivoPtVfUQ09KhOvuPvNI58fkOV\nS975RfKhswEfGqIUBpYJlP/mUSR//Z90jiCZcvhQAskvXU++TiWlZum5v/4OyUd/rLdr3FDksm0q\nUq7d3U5+oumKnKaBH3kbyds+ax57rAVsei39UVuP5H//O5Kb7kbyqZ8jeccXUttsKJFh+ufhQSS/\n+r9JneBJc+MR0c07/hIzeCUSRvKOz9O5f3Y3eHrgTT50dYAtWUmbna52Mo+qPiA5AgwPZZjg+VAC\nya9/CnygH/ydo2CnLCUTayJOSvtAv/lu9vcgec83gDcoUTf/029JDbbD4AAR7vQI4ESczmWNth5K\nmIqcIGERajPe2wXe1gJWXWcSUgBoPYTkd74AHo8jeeeXkLznm0DrYfDf/jeNcwB4ex+S998Otmot\nMDvTBMa3/Bk8l0N+Xw+5Eaw4A+zK62ieE37ALYeoTOJ5l4Jv/gOSj9wH/sdf0XlbDtF8oI+L5L3f\nAJr3EAns6TbeF7boVLIaVFSCrV5nEtPf/QL8d7/Ifl85YIz7aNhMsVEapHvcdLfz8wz0IflvX6K5\n7Pg75loVDIHv3AY2Y7ZxLPP5aV5p2klRnF3tQF8v2Oq1RNx6upD83i00pn/4TSB982OD5Kbvgz//\nRyCZzJkNIeWet20x5kcej9Mc3riQ8iha55jhYQquERVEFq2gdf1gk8PWgelfvWAJeOfxlAAjtLXS\nBu3AXjpmVmNmPfhRYEoTOeXDnxxViSJb5FTkskStWr8D7KtDiITAKddyjy+RE8EOEUugA2Col8xf\nAmXDlXB98Q6wBUvA5syHsu5CMJ8fyhXXENHUo1ZZaRlNOFbfn2NHgQVL4Lrha7Qzq6y2D8UOD9Bg\nZszeRw76opqI0f0279bVtDKwdReC79xGoe4cRDoZM3buPJkk00aanwrfTxGyAMAaF4G/8jwRTYHa\nmaSAHDtKkbDCR06YokKmokO+EGHDtIp4DOzU01MUSt60k45pPQLe20Xmt2y+M7EYmQzjMVIV4lGz\nZq6/xCSQYT3qVjgXtx8Df/1l8H07iTDGomDTqkl1nTad2ujAHkrYGYuCvedcKP/ny/ScQwn6t+cN\nevY0sMpqaqOhhK3Zkne1gy1fA7QfQ7Krne4f0P3JYubi+8pmYP4SQ9VCxzEix9l85uJRaneLSsTf\nOQLs2UHuEtW6b0nrYbqvgT5amIQ/Y9MuoHkXbTCGh01XC30s5kRXB5FOoRgKRU71me0IUjZwvBWY\nPZ/aqmYmsOcNKJ/6MlxfvIPeYYsfGE/EgY7jqSbM5j2UQFlkgRcKg1AFAmawA//r78GWrqL38oxz\nCi+J1NUOLFlp5EtESN/AlOjludIVuYP7aUOViNG7WV6pm1YTFOwQGaS/R4bBt78CHDtqqixNO8Gz\nmRb1/IcZimIkrL/nloCYoQRlIPCqpmlVtNmOV+mZZs4xTcQAvRd9PeB//yv5QdXP1k2WEdMtIR4F\n5i6A8r8+Q2M8faMZjeT25+zvAcorwBrmQzn3EiIrbS3G+4dACZSLP0R99b4PWsyl+nzQ100q3TtH\n6Dq9XQCDaVotC8J149fhuvHrtGnTiSZv2jX6lCddHbQJioRNl5qSUopEzpFgPAP7d1Mu1pp6+p1w\nBQqWg2/dQq4yFrD5i8H/9ida97o7gL4esGVrgI428Df+DixeQe/LrEZnYzo8aG5inJpWo1HTYtFH\nLiBM1ag9rEpdZJA2+vrGnjEGtujUwhJ+6xYfNnselI9/PiVYiR87SmbnaASspAzstPdAee8/Oj93\nFkxdIlds/7KcPnIs9b9AFh85ilBl6Z+lkzbNZy6I4wFhWg0PpiqWVtNqzt+7zahVAGzeIvC394E3\n7ULy5z8hM12NSQrI10olZ1srrP55XiJgsad+To7DiYTuG9JhmFR40y5zt+MvATvnYiR/9ZBJBgGT\nQBxrobY/sCdVrt+vB1eAJhgcbk6phMEUhYje4ADVfdWJnOHvF7IEbvR0EvlVNVLkEnGq02pRKPn+\n3bTr3b8r5f9tEY+RqsSYafrWnfThD5hpRyKDQN1MWgw4B3/hGbDzLqW2aWsFNL+xOLPT3kMkLa4v\nxok4LYo+v15XVycM1XXka5SOyipT2bONGuykhaY8hJF9O4nUAtQmMf2aldXUzgt0IheNmqk6sk3c\nlpJYyU0/IDXyWAu1sy9AQUGV1VSqbelppBaXh4DhYervA3toE3VoP+BVzfERrKAcV7n8wbo7gJkN\ntLBGBqntNB+R6pERIhHDw7Srnt1oBhLNmQ+cejrY7Hn0t1g0BURpq+Nmtni+fxeNiddfSW1joZgE\nSil6MR4D/8vTYJdcobevL3uCXADJTXeDWwgRT8Rp8Vh4KqVgOd5qjnvdFzS9TYxxmkjoKUcqTB+5\n8kp6fwXJfPY35jgfHiYFY2SECHs6+rrNpOJW6OM7JY2L1UdOV/CM9+jZ3wBzFtBmvaTMCH4RZkz+\nx1/TmNM3iaINjGcS5N6yOTOQSOQ0XfPebjDLHG3450bCFIVvneOtm9T9u+n9PtZCG1PohLargzYn\nIthBuAIA1NZ9vWTqbTnoLMWS3T13tVN6Jb2eNgIlFIk92G9W8rEg+eA9KaXPeMshSl8i5tBAKSUl\nF0FwwRDQ1Q42PzXhPpu/hMb3gqU09vkIzXNzF4A/+6QxH2ds5gHwtlaM/PBbqRuCWJTmpMpq50RO\nzH0AqanlugtIiHytk39+CslXX8hcE6ETUcuYTL70HJJP/TzrpfhAP1iJfo5AqV6XOImRO74AHNgD\ntuJM+i6tZvNYMHWJ3GjKcOU8X66oVUY+bSwzapWlBzukq2+W9CMCzB+A8q0fFeOu7eHWFblsplV/\nHiLn8ZiVHQDyDRocAO84Rk6c7xwlfzUrQlVAV5pjqUURZF4VPBHHyKFm8OPHaCdeU6/7jQifsd26\n/4FOUt77AYqEtL4QXpUUrf07wZatJnNoq7mD5ft3E4EDSFpnCqkLFgi/NAREsEPCiMCl3Ts9B//T\nb8HOOt9U7eIxmlx0hZJUwd3mfTbtAjv/UuDowcyUBbpZi7k9NInHoibpEn1j+MANUnsyhY7r6yHl\noXER+BuvUpsGdHV1+RqQZAkixOKcms8ofo7SIJTbfkzRymlgIYtamTZp8uFh2s2WVwK1MzFyqJnM\nzACgaXRv8Rgpfb4AMGOWYVqFUCWzRS4aRepj4EcOkKI3MgI0zCdzDUBJnbe/DDarEcp3f0bm5JFh\n6u+ycrClq8B3bTcDHaC/j+WVOUP+DbOjHqTDY1Ez8EMgEdfH0hLz3GvOhvLpW8xjfIFUVScRUvd6\nwQAAIABJREFU133UzIWY799FUckjw3Q9YW6MDNBCGwjQQvDiM1Tcvm4Wfa+qORNH8/27kXzaYoLr\n7iQzXXmIFJOd22kMAfT+VNdmJLU2iNxQHBhKUN/291IS85JS6sdB8tdERxvYuZeQ6Xj/LnpXLH5Q\nKeft66UNQvoiHKGKHSkbHauPnPAfFG3W0Wb6kJaWmXntBvvpHepoo/5RNXMhF3PJUALMUGmrMn1f\nLcfaor/X3LQAZg7LdCsHaCPLE3Ez4GfxCnCLeol4lMyetTOpT/V0Ocbv3W6grBx82xZgzim0ERlN\n1YTuDqpsNDigb078NJdqPoq6t/ogHtoPvvVvSP7mMdPn+M3XgO0vgW/5M9j8JZTztL/XoshVmBUR\nrJi/GBgZpgLyevJgxhjYvMVmHwGZ7jUAzbtvbU11R4lFae6rnek8ibyVyPX3mH1XHqL58+B+KscV\nHsgMkJy/GBB+lsPD4E/9N3iuADJR3hEwN+DhAeBgE5mEG+bRmiOOKQLG0X53klHsQIGcplVX5ue2\n6UfszKg2ihzSCGCxoacf4eFBWigEPF66FyeKnIhWAnR5Wo9QHOgD37kNytnvS/1NqBrJ3z5mEoP5\nS0idFLsfsWvmekmioQTln+tqB4vHidS9cwS8txvK+osBgIIezrko1dQgfGn27wEWLQdzuZD85c/A\nqmvJN6GnE5ip+535/OSDFkqtTcvmLwH3l4C5XOCCpHV3Uq6wWBT8pT8j2XoIfNtLUL55H/gbr9Ek\noS86bMESJB9/EEwkYl5zNpLP/BrweKFs/Br4W9uQ3HQ3lEuuAGuYDx4eAP/Vw+bkrQcKIJFIzYcY\nDdNiEB6AEigFD1aQKheLQtH8wIIl4Jv/QOqEaNf6BkoF4nKbyopXo/Gl+Ygo+/zZx1tlNd2Pnjsw\nufn/AUcPgl38Ifo+WE7JrGvrKcGrocj5gEFKD8DqZoIzRsE7GkU88+bdwOx5VHUBIMfpLX+m385Z\nYBIW4WP30l+A2nqa/HWlhNXUUxTcxZeDKS5wN41L3qwTrLmngD/981QCJp6pqwM8PAj+4rPk9Lx8\nDfiLz0A5//1mIECoCsnfPArEo5SuRvURgVFclLaheTeUDVea44axVFXeHwAiYSS3/AVs5Rk0PmbP\nA//Tk0ju2UHHtB4Gu+kb4L/7JTB7nklWwmEKPgqUAi2HwFsPQ7npVvPcXiI2vK0V/E9P0tgGyL/1\n8o/RAjs8BH7kAPnhdB6n5wagbLgSyTdeNVwKWEkZuC8AHtaVrFgU/NePAM17geo6InhDQ2Ql0BVc\nprgA1UeVYBoXUtDA4hXg+95C8uc/AVu4DKibDf7np5C0VrzweGnBrq6jsdvWCnQco01XNEx+tUcP\nIvmf91NbzllgKHK8aRd93nII7MZbwX/3S1P9KSkzo2gH+8GWrwbf+jdg3mKwV1+gjZNVkRtKGGUc\nmb8EUBj4I/eBu1xgF32Q+iEeozHy5KNAMATl/Vcj+cIzYGesJ1Vx+gyz72tnIrn5D2BWK4PRV7S5\nREcbbfiXriI/xbf3Ag3zibz194HVzKCNWHgwkwxVVpHCePo5lKLkWCt43Szw/3nIcHmIeDxIig3h\nORfRfRx9m/wAARrX51wM/urzpGorCnhJGVkgjrUQwamqQfLpX4Bvfwnsgx+ld3L3DjLJ798NrDgT\n2LmN7jtQQoq3WNPKKmizkTaXUGqomTSHh6oMwYAtWAKuaqYfsFclMrn3TRrHM+eQT6bPj+Qvfga2\n4k2wD11DG4i5C2jOaWuhIJvfPwHUzYRywT8g+ZffgZ13CfirLwJNO8HOf38KkeO9PYaaysrKwft6\nwPt7wCqr7Il4WQWRrncOg7ccpr5Mi/RN/u4XRsAMP7gf7Mz19FuRoqv9mE7qonTfNTNpLikSpi6R\nO5GmVSVtAgeypx9JJ21MKV4FB6cQlR3iUVpYxa0wBuXm22hSzAVhShJtovqA2DFzkhQJdy1QPvBh\n8IP6hN7ZTv4+Z51vMa3qRC4eJR+3oQQ5MR87apgclSuvpUjNuQvNe/6HfwLrsJRZ0XfuvLsDSnUd\ncMoy8qsS97FqrRlRBUD52A1GqLyBhvlQNurKikcnB+FBKKVlwMozDbVLOWM9WHkluMdDDtoeL01i\nF11uXFM552Jg2nSwf/k0LYazG6F8+JNI/u6X4G9uBWuYTwt1824o191sPoMwhQonfY9HJxAJsxpH\noJR217EImf7WXkiLbE09mMcL5Yt3gAVKoVxzE/jeN2nyiaeqfLy7I3eKnplzoNx4K5K//BktbM/9\nnu6rcSFY5XSTBItACRG1avGRY+svAdOjSZnmIxNRVzvYuguBGPkDJh/7Mdjy0wHopuIPfpTOE48R\ncQsPgC1fDXbhB8zoRX2MGdG2Qmnu6gCqamkB45wmaAtYRSVF6bW1gO99E3ygD0p9A/gvfgq+4gwi\n+9V1UC77Z/BD++k38xbTZxu/huSDP6A26NbNYdng8xP5/uOvaCORiEO58AMp9R2VU88gBf6mb9Au\nXyTJjeom7xkNYFdcQ/40wmRrGSN8/y4KRHjPuQAA/viDYOsvpk3SwuXgrUfAZjWCv/QXMvtDL1P4\nudtMZfsf/gms8zggnOg728Bf/zuU625CUvR3Iq6TWMUcP4ESUlSCFWCf/QYw9xQoV30c/PB+sMUr\naVwpCgxFGCC/tn1vga29APx4K0VmNu2Ea9lq8GgELBgCu/gK8L4u8L+/QHOJ20tkOxYFwKGcerre\nZrca/q4oKzd9nQb6gPmLoay/GCxQAi6IVDxumkuF753oh098Abynk4IhmvfoilwMOHaElKhIGHj/\n1eD/7wmwhnn03jVa5knhe2ljmjNMhj2dFNFZOxPJP/6afIxPP4euEx4AplHwCe/vAbOaVgEoV1wL\n3nqI3pGONnJfcbvB33gV7NKrAAAuVcNQPAa0tyH5X/9ORH3n61AWLtddV2Jg1TVkYhWWkDVngy06\nlSq49HWDl5WD/+FXYP/yKbA155Cl5cBeYNFy4MAeKN/6MdDTCebxgAdKSM0SWQ/OOp82LDZQrvss\nUFMP/vfnTZP2/CVQbvy6OR+LNeC1vwGhaWAz51Dy75XvIRXzP+8De99lgOKC8tGNABgp9W/vA9/7\nBvDWVvBzN4D/8qdga9YRCT3+DlkrEnEzgM6qyAVDZvL7BI0PZlkTDdTNAo4fAw7tBzvtPeD7dqZ8\nzX//BNhV1wMuBaxhnm4J0eEvoQwBtTOhXHU9MHMulKuuM827RcDUJXJ2xe3HAlF9wU7pYyyT4GVL\nP2KnyI1XvrhscHl0ImdZ1HUYZsWcv08L2hBmP1+E1J9YlHwvrOedOYdeTOgpFAx/BJ3ICQIWj5nO\n1WV6BGciRirS8jVIo8u0m55t2UF5VXouQW6qasCqLs76KHZ+YUxRyJ8DILPB0JDh8M7KQxQNbYXH\nSxO7rvzYXZOtOdv8o2E+2KIVZoWB8CBQMxPsVP3lFwEBImeagM8PRAfNdhOmu2hET8lRRjtxcU39\nGVjjQqpS0N0BnohDEaZGf4BMFzmSZjPFBSxYQoQyHqf7mjOf8naBGQorq50J7vGYpFDV6L6GEkRk\nxfuh+UmZ8JfQsbEIZZtXFLDL/hk43koO02LBFSau0DRKMlpead5b7UyiCIJEujykTsSjQGUVmM9P\n5cLSUUY5r9DfAzZngV5XOAJwDv7sk8DseXoViEZSs6yYt8hcmGPRTLXP2na+ADlYD/br4zgBTJ8B\nZfHKzGMXLAHvOGaaG8X4dbvB1r4383hVRTIeB4tGwBrm0YYBwMhzv6fUP8GQYVLkOmFVPrbR/P2i\nU1PbcWQEfGiI3q94nMywp50FvPgnMyDG46U+M4hcKfnA+UuMsYbZjWCzzTZjaXWt+cLlSH7t06TI\nxaPUNsKPMBomBftUes+T/b2kqlTXUnLZtHMZ1wSoT/Wobj7YD1YSBDtlGX0n+ivdR05X5ACALVtN\n1zx6iBRj0b+RMJVq2vsGmRgTFPHIoxEo1vemLAhEBsEH+iithxVela4nxkttPdDXDfaR/0NzW38f\nXccXoHe/r8cMchL317iQEvgC4LX1QNtRKr1YXWf0vVpaisTAAJkAv/EZIszLV5Nv5dkXERH3lVDk\nvr4pYGXleoJ1vVaqpxWoroVy1gV0rcoqqszScoiidMtDJgHxl5C1QrgRiXKONmANekBQZZUhejCX\ny5xnrf0k2h2gMREogXLGeoz85lHapGk+sBmzybwcj1EqlcaFNFb6e0mdFkEjNTPMuVS8W33dVAMc\noCwBRw/SfDCUSNk8p9x/sJz8AXu7aT60VNrhiTjAGJTzNtg+OwIlRChLysi8DACWyN5iYOr6yBVd\nkcsTtZpOHO2OL6sAW3tB6nF2eeTGGy4X+Rsl4jkXoqxwpypyTPPTTjcWBVtzDknZuaAnjySH7jRF\nLqw7lw8N0eQYi6Skj8gHpmpEBmPR4lT18HhN/7e0XbJxTbeHnsXr7B4B0KQq8nCFB1JN3KKCQCKN\naAvipityzB8Aj4bpWe12kVZY/YSsfnfdHWBOci0KH6VYFGyaXlWhp9P0L5w5B+olV5jRXqqPfJY8\nnlRTi89Hk1owRO0pUpOsex/9VpiQxaQbCZOqdsmVlDrDirrZYO+7jPzXAFORE+lCsiFYQbmz+noo\n3Uwsaizw/MVn8m9mxGYhx5igZw0QwQ8Pmv3p8WY9nHyp9OeORs0UCLb3YPZHSt+HqijQIFhuvlM7\nt4GtOsteaRBwe8yoVesY8XpNIuf10jN5zY0A72jL74phfcbqOrAP/gvYwuXUTwP9JrkSZMZ4lmqg\n/RiYg/eKan3qDvsD/RRNL6BaiJyhyMUBt01fWNXwOEU6skAJzdMiACkaMUincX3FRcS2rSWzPfTr\nk9rjo9q8F30QbN17zXyL0Qi5eqgazY25xm91HeUrHOjL2DDTvShQ/ukTYFd/AuzCy6jyikjR5A8Q\n0Uk3HwapVioFqpnWFFZZTXnbDu43SYiAUB49zi1K7NTTyYxuB7HxiEfNSM9IxGxnfwC8s918L7yq\nXs9UL3Wl+cxSZsIaIMpJWk2rfb2GLy8LhuickcHM+dGKYAjo1U2wtTNpjhIpt+zM6VYESoHjrWRi\nHidMXSJXbB+zXEROUTI+Z4or43Om+aBc9i+Zv01X6cYbwsct26DNh/QSYj4fEa5oFKidAeX9V+f8\nOfOqFCXXcTzVtBqjJJw8HiMfudIg7Y7jUXOxzgcxEeuKxljB3B6K5stFDjw6kSvgeqw0aDpnR8Kp\n5hhrxKe1f3SfK1OR06MiY3kWfZjBJCmRsL4ApV1wUv3Eq1Gi0lgUqJpOC0OfaaJgqgbfRz5pHq8r\nCxlER/OBH2+lfHO6+ZUPDoAFy81njIZNp/T+XkDVoJx7CVj9nNRnUlUoV15nfqBHY6ekbbGD2Ej0\n9ZCfk9i9+/xAImEGw2SDqgdyDA+nqDoZ8PnJN41zY0znfN+sSW/zkXPNMs595rOyymrwt/dRBKEw\nKcZigD+PP47HC57IJHJMfJ7QTZE+v2nuD5SSulpgrk7lkitIkUiOUHJYQ32JpGy+WGU1EXO3A6Ig\nTGSASVoErIpczF6RM6BpZsBBLKb7BAbM9CeJOPltpZNOgJKov3M0u4+ciH5mDMoV11Kwhb6ZQTRs\nRsAP9ud8n1kwRKRVT8Vke8ziFVDOPJfMq309Zl5M4Z+Wfo9CkWtrSU1DJCJ6jx2lSHnrNQQZLGD9\nYktXZSdylnYykh5HLe0cKKWMAXrbMMVFc29fN31XVm4m4RbRv3qCdW4hcujrtphWK4zKNzyRsLVS\nGcf163NGRSX1sUE2M/3qUp5ZmFbzuSyNAVOYyJ3g9CN2n+sVGnKBlZTZ7qrGFUK5GCWRY+klxERK\niVgk967fimA5cOyoORl49fQknJs7qJIymnCjUZN85IMgclEHKpUTGBGpUZrk7SBMqwUpcpYEpmnR\nw1RXMpq58Pv8pIK5XLQICIUubTG3hXUxEYu0P0ATowPlkqkqOZN73GBlFZQlX0+KagtNo4kvvU00\nP3D8HXIgFkEdlnq/RiShkRPMhgxmgxjXeZQyoT6grwesZgYlKI5FgFOW04Rt8cG0hVcFH+gFNC01\nUj0d/gCZSwFLFHIO4ufVzEjJWCR3v3gFkUsj8aEqSqpaZipyKSXKssFjKnI8ETdVMDFukiNmpRxD\nkdN9pPJFuduAcj76iOhGLWa0FEVOV3tzqJgGhLkcsCdyQkE1gh2G7M9rqOEJeu8H+81nDg/CKFMW\ntemfYIgIj61pVfRD6hxivOtC4dN8dI1cY16QioH+/OSgpAyIRihdSmkwlRSl33tfN0VUW/2bQ1WU\nNDctpRQAs9+dEG0nsLZTxErkLNkU0l1BvBpVYAkEyOQroknF5kzUrk7EKfgnOZIacRysMOdhYVq1\nmcdpzugxEkFb091kZH9IR6CEImIlkRsFxk2Rs/ORUzKDHQDy2clzH8rHbgBbtqoIN1gAFIXKX8Vi\noyJyhhIngjQ0P01+DpQhA8EQRfKICUVVjaz8iMdNEqNp9OJlI1Hp8Go04TKY+b3GAj0SMuezCbJX\niJm6NGiSlfQdnahv6k43S/rBW4+YC5w/oJsEEvmJrlWVsJpWe7rJbyYfVB/Q22OmLBjoIz+fLD4x\nUDVSLdLbxOeHUVNWVH/ISIMTID8egCZOp2PK8JFzYFrt6TJKmZGpLApWXgHXXY/kVvOgK8q6UpgT\nvgCNcYCIvsuVu+ye8EMEJRvOeR+qlchZFrbKKhqLwZBpUszXHgApcnoy5RSXC4+XFlOPxzR9W4Md\ngEyfMKfQfLQwW02rVnW4YhrNrU7e40AJKTmJuJFo3IBFTTOI8lAWUm1N/QNQol6fn84h3lfhl5qm\nZLNguR6dmIXI2flUin7UozONsZ5v/BqKXG5zHVMUUu3eOUI+Wh4P9alNZCbv76XNtUWRY6quwh7Y\nmxlJK+buYrkGWdtJ5CeMRozSkSxQoptWLeNd1Sj4IlBKEahHLEROn2e4EAbE54P9lJYKMPO1qj5z\nfrRr+2AF9S1PUh+VWhJQh3MrcgiU6KmHJJErHMVW5JTCTKsAiPyNZxqRUYIxBrjc4NEwvaiFwp0l\n2CGfimC9h7JyeinEpCd2x0yhSXdoiCZazU9SuGNFTqXji2BWNe4rj4+csdAUQuT0RJyc80wfC9VH\nRCE9EMVfQolxRaSoUOhUNX+6GlW1pB/R29pXQn3gpM+MdvXr9z6QmUsr5Xj7BckgJ8EKMGEeTJ8I\nfQGKKnV7DNOqI4ho7Gges3qwgpQgvx4wMjREhNip8udVyUE93xjzB8yyTQO9KVGStrAWho/nUZSF\n35XwrdJhJPkNVljIu4MNm9tjRvVZyb5wG9Dvnfn8plon+mwUihw9g072h4eoFmb6s7jdpLI4UOSY\nopAK2dZKgVFWcuHVjPrEGB6m/IfWhMDp92RZ+HlPl25a1VIVmKF45ngJhgCeNFMqGdfXfbnsNoPC\nTB+NAL4S04Uk19jSVTveedyZyhMMUXUXQSR8/sw+K68g38qONvIbtSJURZvsaalpmsZPkbMEO+iV\nFozrdXekbnC8KqX98Jfo4oBePzo8CIDRJiMWNV0WujrIv1gEL3o8REirpuf2kSuroHMHQ3o1FDPd\nDdWtzeFeoLfTeFreJh7LKBZcxVbkRmlanYBEDgDdWzQ8SkUuLf2IJnzkIs7NmcIkJ3b1epkuVhHS\nFTndMVzzkaTtlHCqGh1fDLMqoCc/juvEMss96AuCE6dsAebxUDvGopkTgeYjopB+Pp8faD1kptPw\nByh9iJNntSpyRtSq8Jdx8nu9XX1+s66l1dckHVaH5JTP9Wvqihz5IaWlbPD5STETKSUcEjmmKETm\nIoO5f+ML0NgVk7KmUTSa0+AYQ5HLo9z5/GbJsIH+3GZVAKK6CYD8ZNQwrUZS70PkhrMSuXg8P+nU\nzdI8mUyNlvboJkVBevwBs23FQj7aetbiPHqalgzTqngep8p6sCKVsOggtwA9qlyYTofsiRzTfKTg\nxGP0XHptZqgquFi49Xcuw6wu1J00ksQUhd71gT5bn1EI06oIdrC2jQ0YY/TetR52Rg7KyqmUnThW\n5Ce0on4O2NUfh/KpL2fOY5VVQM2MTDVZzN1FUuSYqvvxxmKm/1k0kmoO7kpT5DQfKWOBEnLX4ZxU\nSqHkizRIQpHr7shUMcvKgWk1eYhcecp/WWnQqCCS37Sqt7UMdhgFTqhpldn7wrkmMJFzuWjXMxoi\n50oLdnB7KFXUYAEO/3px9ZQJxatCqaw2fVR0Ioe+bueqjNeiHBUDIiJVVbP7Q7lHocgBpp9chiKn\ngQ/0ZZJXn67wiJQfwgTphIAIX6eUYAf9d45Mq5qpdPp13zymZDf/iXtPbxNDkQsRgRrsp91+elBH\nb6dJ5ApRV11uInK5nMXFQijGoOanOrhOx4yq6v3jwLQK6H44mQqr3XnN9CPR3H6PIjAi3VerrILe\ny2CFkWCVx2NgeRRtxpipPqdFrfLwgEXFNU2rxuYjELA5owOIhbY0SNGJ6aZVACxUnV/JFAhWAK2H\nMlUqr0rvmVc1E1IPJcCymVZFhHFZOdDbSYTcaloVNUvTwIw5zeZ98mYZM5qPxobbTYRI9VE+ynxZ\nF4IVpMY7MNex8pB+rE4kfIHUKHlQKhDlzHNT85+J70LVKeZWA6qm50YdBx+5oSGqdmMd34FApqpp\nTYUjxIHpdWbkr9VU7vOD93TaqJEhsKrpRr1sWx85UQZOXMOagDoczh3sIL6TitwoUGTTKlP0FCOF\nmFbdnrzBDicNLje9JKMhciIBpJCnGaNFJxp2vhiWVdA9WK+valBE6Z4RvdC5z08vZSHBDoX4VeWD\n2wOE+3OrL6MxrQJmoW9rGhbA9AvMUOT0ybfSalrtcvasVj8hq2lVnCcfVNVoV0q1UJJdjYMeUeb1\nZkYbi/ERLKc27emkUlRWkizSduglodKTo+aEW69gka8vghVmrUzN57wdAYsil+cafkt/DfTlNxGK\nCEYgb9Qqc7nI6jCQauJlikJVN6pq9RQlDoMdAD3gYShVtfV4iWAJ1XnRckr2C4zdtKr59EjKQNYA\nArZmLZhI+psHLFhBJdtEVRABK5ETbiCJuD1B1Cz5D0uDNA5F1KpQYLrbM5VDIKsiZ9xDfy+5E1ih\nanQN8S4KcpsP4lpOFTmYpj125rnAzMYcP0gFW3E6VbNI/5wxapti+sjp/s0oKaUNmYXcGxsH6wbH\nog4z8ZzVdRTMJMrqCSJXUkbvebp/4BnnUsJpvR5v1k1PWbkZXV+qu5cARjm9rBDjQfrIjQLF9pED\naOLMRuTs1Bq3m6o+TES43GNQ5NJMqwAtQoqS33ykgwUrMhdwochFI+Toz5i+Y+137MvHVDq+KDnk\nAFrc8hEDsUAXSuRKg3SvGcEO9j5yRuqAkGlaxciws4lf+CO53IaJxPBHcqTokY+Q8ZvSYE4iZzxH\nRrCDfq8i71M8lmmKEs9ZVk4LqtNAF8BUwfORJmvyUs0H9HaB5Yv8FTAW5TzHi+eYNt3eVJ4Otxvg\nVM8xr2kVoPYd6M8gfMo//jO9LzmiJe3ARF3hFB85b4pplS1YaiauDpQQWR/NHAJKWYPSoJlyxmpG\nE8esODN/OhgB3feRve+y1M+9mqGqG24gQ0P2JlvRpm6PRbEO0DMO9tFngtzZXR+wNzWrqr26LDYp\n4lqa5qyvggUQOaEi6URCOf/9GdVOcl7rlGVgp55u/2WgtIiKnGa6LARKzUTaYnyLecJajUjV6H3X\nfGai4upas60N02pMJ3KdGalXlLUXALMbM32I0xEMpSpyRtYBB3nkhNo6TpjCRG4cHs3lzm5atQ12\ncAPsBFdtcAqXi0wIo0kI7EkLdgCMiKuc6RisqKrJdKr1qjRBuVzmwqH5ySHf6UugquRwXExFDsi9\nqIpjClzQWEkpZQtPS17MNJ+uIKQFChgKjz4Ji0XPybN6vBSpnG7CBBwpKkzTzIgtACgpNRWtbNBs\niFygFKipp2cU36XvZsVzCb+UQsaoiybMfOOQ1dSbtTJ9fn3iL8BHLk0Js4Vo32nTiazn2eRQSg6N\nSA1POlDw1NQ+sfs+PXdgLhiBPWlELjJgf+/BEFU9GC1UzchtxsPh/ObkfJg+gxKSp5sBvao59oVP\nWlqJLgOaZqh3hpqsm1b5QL9J1uw2P8EQJeu1aysxZtLnMbeb5jtxPtUZkUOwgqq5OCBRhoo0Hqa9\n6XXFO6/RRhrNCd0d1A9inQlYVEsBVSM1jjHK71Yzg+YN4Qai+miDMJIEAiUUvGJHtD02Uf1pYLX1\nYPqaxUrLjQTUVLM8xxxaHqLk5U7XxlFg6pboGo+yV9miULOZXCdysINQ08aiyFkldc1fkF8aq6qB\n6//emfqh10vyuVczFzEjHN95sEPK78YKg8jlmFxH6yNXGqQSR8JcKaBqpLTZmVaZAogyVULxcdDu\nTKhU6ZUiAGeLpyACmkWRy1crUNUyI29VDa7bfqyf05KPzAq/xbcMKKwv3W4A+ftBufxj5h8id1ch\nptWR4fz9rfqov0QtXyfvmlczfDzzTvxejXyrsgUDGOb0hKP3hxS5VB855vVSBKCNjxQrDcL1rz/I\ne96s0Hxk7lMUoKdDj74e/bytnLEe/PRzMr8QxMqrUhWaaI6cfqrPfPcMs13A9JELhoC2VttqKExV\n4fr2v9vfXJYxY+TT81s2ZU7GYbDCOYGyqkhFhuuGrxXvZKKNNB/VJ+1Myxknoj+tn6mamYNS88N1\n2wNIvvYiJTee1Uh9nByhd8WrAR2HgVOWIgMejyUHpf27ovzTJ8w/ptdRhRogM1grDWN+TxxggrKM\nImA8TKtKFiKnuLIEO0zM9CMATBI2Kh85ochZiZxv7OZM1QdWUkovkphkNctO1QnSHfnHCsP/LYfz\nvKiXOwofOf7O0cxJQL9WhsnKHwAqQmaUmOYnNbiQaEvrPQYCmSQyG9IIMitxYlrNrS42swm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Aqhubn5JN6RhBP09fWhvLwcABGFvr4+APb92d3dbRwrcXLR3t6Ow4cPY8GCBbIPJwmSySS+/OUv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\n/x+sHVZ0AeaDBAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114136be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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D4XBaPi3asueJ5myV4nA4HA6Hw7nYtOgEjezsbKxevRrz5s0DAKVmmmuSRmZm\nppMJVK7UzuFwOBwOh9MSWLVqlfL/tLQ0p9qV9dGi3bidO3dGfn4+CgsLER0dja1bt+LBBx90O87T\nRTlz5szFEpMTQoxGI8xmc1OLwQkSfv9aLvzetWz4/WvZtGnTpkGGqhat7AmCgOnTp+O5554DEWHE\niBENqoTO4XA4HA6H09po0W7chsAtey0TPjtt2fD713Lh965lw+9fy6ZNmzYN+n6rS9DgcDgcDofD\n4dTBlT0Oh8PhcDicVgxX9jgcDofD4XBaMVzZ43A4HA6Hw2nFcGWPw+FwOBwOpxXDlT0Oh8PhcDic\nVgxX9jgcDofD4XBaMVzZ43A4HA6Hw2nFcGWPw+FwOBwOpxXDlT0Oh8PhcDicVgxX9jgcDofD4XBa\nMVzZ43A4HA6Hw2nFcGWPw+FwOBwOpxXDlT0Oh8PhcDicVgxX9jgcDofD4XBaMVzZ43A4HA6Hw2nF\ncGWPw+FwOBwOpxXDlT0Oh8PhcDicVgxX9jgcDofT5BAR6EQu6HxxU4vC4bQ6uLLH4XA4nCaHvv8c\n4qJHQT+taWpROJxWB1f2OBwfUEkhxA3fgqqrm1oUDqd1c/Y00DUNsFqaWhIOp9XBlT0OxweUnQla\nswLiEzMgvvv/QFZzU4vE4bRKyGYBi08ClVubWhQOp9XBlT0OxxdWC9jgayE8thiIioH44v9A3PwD\naPc2UGVFU0vH4bQebBYgLolb9jicRoArexyOL6xmQG8CS2gDNn46hHG3A0ezIa7/GuIrT3JLH4cT\nKqwWsPhESenjcDghhSt7HI4vrGZAbwAAMMbA+g6CcOdDEB5bDNatJ8Tn5oLOnmpiITmcVoDNAsQn\ncWXvEoVEEXShpKnFaLVwZY/D8YXVDOiNbpsZYxBumgJ25dWgrb80gWAcTuuBiOrcuDYes3dJknsI\n4jsvNLUUrRZ1UwtQHx999BF27doFtVqNxMREzJo1CzqdDgDw1VdfYdOmTVCpVJg6dSp69+7dxNJy\nWhtktUCwW/Y8ktQWyD108QTicFojleWAOhzQ6YHaGlBNNZg6rKml4lxMzBeAsgtNLUWrpdlb9nr1\n6oVXXnkFL730EpKTk7F27VoAwKlTp7Bt2za8+uqreOKJJ/DBBx9Is0MOJ5R4sezJMKMJZCm7iAJx\nOK0QqwXQ68EYA7R67sq9BCGrBbDwGOjGokUoe4IgidmlSxcUF0vV1Xfu3Imrr74aKpUKCQkJSE5O\nxpEjR5qDfxBQAAAgAElEQVRSVE5rxGrxqezBYAK4ssfhNAyrBdDZLeg6A3flXopYzUC5FVRT09SS\ntEqavbLnyKZNm9C3b18AQElJCeLi4pR9MTExKCnhwZ2cEGPzbdmDwQSYubLH4TQIRwu63sDLr1yK\nyPfcxq17jUGziNlbuHAhSktLlc9EBMYYJk6ciPT0dADAmjVroFKpMGTIEOUYVxhjF0dgziUBiaJk\nYdDpvR/ELXscTsNxfM60em7ZuxSRy1hZzIApumllaYU0C2Vv/vz5Pvdv3rwZe/bswVNPPaVsi42N\nRVFRkfK5uLgY0dGeO0hmZiYyMzOVz+PHj4fR6MNaw2m2hIeHX7R7J1rMKNNoYYqK8noM6fUorSyH\nQacDU6kuilwtmYt5/zihpTHvXaVYg9qoGOiMRlgjoxAm1iCc95OQ0tyfPWtlOaoB6MQaqJuxnE3J\nqlWrlP+npaUhLS3N7+82C2XPF3v37sU333yDZ599FmFhddlZ6enpWLJkCf7xj3+gpKQE+fn56Ny5\ns8c2PF0Us5mbilsiRqPxot07OncW0Bnq/z2dAeb8M2Am70ohR+Ji3j9OaGnMeycWFwJhETCbzRDD\nI1BTUoxK3k9CSnN/9mpLLwAaLWznCsBSmq+cTYXRaMT48eOD/n6zV/aWLVuGmpoaPPfccwCkJI0Z\nM2YgJSUFV111FebMmQO1Wo0ZM2ZwNy4ntNSXnCEju3K5ssfhBIfNohQvlxI0eMzeJYfVDCS0AVnK\nwN/koafZK3tLlizxum/cuHEYN27cRZSGc0lRT9kVBYORJ2lwGh0SRUCsbZ3156wWICZB+r9OD5hL\nfR/PaX1YLWCdu9fF7nFCSovKxuVwLgZ0eD/o9AmQ1Qzmq6CyDE/S4FwEaMevoE/ebWoxQg6dPg46\nnuts2Su7wOumXmpYzUBiGz6WNhLN3rLH4TQ2lH0AtO9PUP5pyaJgKQOqKoGqKrDB19b7fWaMDKnr\ngcRa0NYNwPliCGNvDVGrQciRlwOkduKJJw2AbBYgLwfokgYWFl633WoGwsLBwiP8b+xCcatbO5RO\nHIX46lNgQ0eB9ZQqL7BO3SB+/zmw7FWw6XODb9tSBhCBGSNDJS6nkaDqKqC2FoiJB44cbGpxmgza\nvwuUfQCs7yAgNgEsMnRZyVzZ4zRL6FQe0LY96NvPQGeOQxjxD7CuV4T+d4oLIb75HNh1N0IYMgqI\niAC6pAFgktJnNNXfiAfLHtmsYL5Ktvgicw/oq5VAeATQhMqeuPRVCNMeBDp1azIZWjq0dzvo0/eA\nCC3Y2FvBuqYBggBx8WNAbQ2EB5+RYj0tZrCOXXw3ZjW3ulg28YNXwCbeBWHgMGUbS+kA4YFnIL77\nYvDt/vI16JtPATCwXulgUx4AC2t+7m95TWDmT7iIP+1VVYLWfw1hTPCB/E2CVYrZZEYTxEvYskdZ\neyTPUtZe4HwRhHsfD9l7jyt7nGaJ+PI8CE+9BjqSBZaQDHHpv8HGjAfG3BLaH7KUAvFJEP4x0X1f\ndKx/bRhMoJ2/QRRFsF79IX77KfDXTgivrADzR1l0gUrPA527A4f+Cvi7ISUA5YKIgAO7QH9sBh05\nCNa9N4SpDzSygI0LVVZAfPUpQKWGMGcBmDqI4dJqARs8Eqz/UIjrvgR9/zlQdgFs/Azg1DHQyaNA\nZQVw5iRYxwfrbas1xTMREXDuDFi/q9136g0NO9cjh8AmzwLrMxDi0ldB82cCYWFAdTWExe83n2S+\nU3kQFzwI9OoP1f2+S5D5RfE50E9rgBap7BmlibPLfafTJ0A7/gvaux3syqub1NvR6FjNYCPHQrj6\nWlDmHojv/j8gOg7CEy81uGmu7F3CkCiCCc0vbJPEWknJsJjtL8tRQPvOITHv06G/AGMUWNt20gab\nVSri2gBY5x7AmRNAwWmIL38F9s+JoDMnpIW9g1D2YLWAxSZKs/SamuCUjAYiWRysIKvFo3uaxFqI\nCx4C4hKB08elBJX4JLDhfwPr2Q+0Zd1Fl7mhiOu/Bu34FSw2AejUDaxXf+B8EVBZKVX1D6bQq80C\n6PRgl10O1ex50nUtuwCYoiTrrdUCVJZLbt16IKu5da0sUVkBqNSeE070UkauXGA/UMhmgWAwgoVH\nQLjnUeD0CUBQQVz8KFBRDmh1ITiBEFBaAnRNAzJ3B32uTljNQLkNVFvbrMMvqKQIMEXW3XurWbrn\nBhNw+jhqX38WrF0n0LFs4MwJsIHDJTd//qmmFbyRIasFgt3Ky9L6QnjpP9JEMAT3kit7lyBkKYP4\nzovAsWwIr34UWNzQxaDcBtjdG1JJBj2YwQQxBFYN+n0D0LZ9nbJXHgJlr2MXNxdc7e5twbvcrGYp\nw1erl+Rripijqkqgtsa7dcVqBUoKwa6/CWzc7UBUrKTUMGZPbmmBSsnpPLD2nQGtFvTXDrBO3YDI\nGOkeBFvV32YF4pOUj4wxwB6HQ3qj9LKvKPdPibOYAas5NEpBc8DmsB6uCywsHBAEqR9GaAJv2yGT\nngkqILWjtN1glEIumomyR1YLWGQMKCxc6mderoffWOzPq80a3ETzIiEueRawWcFunAw24BpQ/knp\nfiUkg02aCRYeAcrLBht6HVifgWBh4aADuyCu/7qpRW9cZKXXDhNUQEqHkDTNlb1LEFqzAiwhWbI+\n2SxSbFhzQlYwrJa6F0JD3Tp2yGIGs9S106DYOl/oGrC+p9UCxMRJg5/V3DTKnrxclTeF1VoGGCMh\nDBruvk+vb5GxZWS1QrhqABCfBNq/yz7RMEpKhyXIvudDoYHeAJw5Aaoo969vWy2AKDYvy1RDsFs9\nvaKz9/+glD0v191gku6lgwLepMhKqSxXA5U9ZZJlNTdrZQ+WMgi33QPxhy9Ay5dIyQjjbgcTVGD2\nMYVdeZXzd/Sm4J/DloK/tV2DgCt7lxiUewi0fyeEZ98C5WRJL/Uo/2LTSBRB/3kNrPcAsPQhdduJ\nQEv/DTb1gdDUALMPWGQpA8rLpRdCqB50q9n5xVpua5QXJ9MbvLpA60V+ATTlgvCysubt9y1m6QXl\nCZ2hZVqgbPZZtV6y/pBFKr1DKlXQi7NLbhkv1iu9UbJW+6vs2cyASiUd2yqUvXosWXZXLmLiA2/b\nW41Mg1GaqDQXLM59DgnJDWtP7kfNeLJFRJKcV/SD6koP8ZreCNGEv1njYtkLJc0vYIvTaFBtLcSP\n3wa7eZpkzdIFtuA4rV8L2r4F5Bo3UW4Dbd8CZB8IjaDyA11cAGi0kinbYAzNg261OMdHOS7AHkr0\nxuAVBJtFqu+nD9E5B4O1HmXPR8FpFh5R54JrSdgzAhVXn7UMMJjAdAZQQyx73sIEZGXeHotXb105\nqwWITWg9LzzHVTM8EeRkh2pqpL7nQSFmepM0iWwu2CxSfzO6JyYEhaNXpLlSVQUwIfDwoVC9A5op\ncmZ2g135XuDK3iUE/bEZ0OrBBlwjbdDZY8L8/X7WXuDyXu4Kov0BpL1/ur2wqMIGcfOPELdv8f93\n5IGqsKBOEXMI2G4Q1jJnC2F5Iyl7On0D3LiSIiVbB5sEmwVgglQnzgNkKQMz+HA36FrgwGy1ADop\nqB8qNVBcJA28BmPw99Jm9a7QyMq81SLFR1aWe22GqquBmhrJytXSrqsXyGoF8xUvqwvSkmN/YXq0\nKhubmSvQUib1Ob0x+AmFI/JY3Iwte0Fbr7R6oLoKVFMdepmaA5XlgDq80VbI4creJQIRgTZ8A+Fv\nNymDINPqQQFY9mCzgsUluit7FjOg04N2bYU47x6Iq5eBamulfVl7Qd98AvrmE/9/x2oGVGpQYb4y\nKDB1GBAWHpi8LpAoSokFrpa9BiZoeETfAAVBjjdqQsse2exxg95+32KWXOveaEoXdLDYHF5CBhOo\n4LTdnd4A1199MXs2i9R2ff3F/oJkemPLTH7xRLlvy17Qkx1fcU+yu7SZQFaLNGkK1So88rk35wlB\nkNYrxljDYqGbO9Z6LN0NhCt7lwqH/pJKSPToW7ctQDcubFYgNgHkag20lAEdugKdLgcbMwF06C/Q\n7t8B2K10nboFNpu2WoD4RODcWedBQW8ENWTNzHIbQKLTQEjlNt/WhWBpiLIju0ibcmCzWaQgdq9u\n3DLJ4uWN5v7CcYGqq6TkB9m1pDcCBWekc9Qbg7cGeUsUAOzLgpVKvxsd5/s35Jd4C7uuPrHWY1XX\nG4OLPfNlOfJQx61JURI0GtDHHCCrWYr7a9aWvQYoNQ15Fps7jRivB3Bl75KAsvZCfO8lCOPvdK6r\npwswa7LcKtVVc1EQySq59FSz/xfC4Gulit/ysk7lNskaWGGT6uf5g9UMxCe7lyLQG/2qR+a93TKp\nlIbFXOcOLrc2ToKGzhCUK8Up3qhJY/asYPFJ3vuHrwQNoOVZ9uzKlOL6M5iAonwwvQHMEJw1jaoq\nARAQHu5xPwuPAMLUkoW0vngk+UXQ0q6rL+rNxg3SjevLsmcwSjUhmwuO9eVCYtkzg8UnN+8+Ym1A\n1nFzS7AJJY2YiQtwZe+SgPZsA/v7LWC9Bzjv0Br8jtmTi+yy2HjPblzHF7/jwFVulTqwRidZ1vzB\nagGzZ6Uxx5mOwQhqyEBtMUurYjAmBQnL8jVGQGywippjvFFTZ+PGJylZta7UF7PHGqqYX2xcLHDM\nYJIsbnpTaO6lN3RGRYnzqVDazK3PslefO09vkKx/AUJWs/O44QAzmJpXv7Ra7H3MBAqFEmOxW/aa\nsbJHDVkejlv2goYre5cCFrNSyNUJfQBu3KoqQCVI63h6cuM6PryOyp6c7ao3+P2QkmzZA5xm/lIQ\ncwPcuLL7QG+omx02VjZusC5Yh9kd0xtBQWb0NhibReozTKhTjB3xkY0LoOVZoFwzQ+UaZY5lMQJu\n04+JhD37l+lNPi0WUhmYJi7HE2KkGpc+rk/QCRo++mYzitkjsVZJEGMhcuPCagESkpt5gkbwbtwW\nN4kMALKGbo1kT3Bl7xJAmul66ERag//KXrlFOt7Td+QVH+wwg0N5AzkBIhCLhM0ClmAveqoLnWWP\nrGXSS9UxGN7WOG5cJfg+UBxnd/YXO1VWgCxlFzUwn6wW6UXsrbZVvW7cIOOtmgpX15L8vMjxVMFc\n+/pKi8jt67wrcVRdJcWpnsqrS9AoKQTlHoL4w2q7q7hpoJoa/0MzPFGPZU+a7AQ5YfLWbqiUKgeI\nCHT2VL1ZolRSJCWJyZTbpNJSKlVI3LhUUw3UVIHFxDfvCUGD3bitU9lrbMseL6p8KWC1eAymZzo9\nRA9uXGnGWe7sCpGDqbU6oNzqXDDXYvZq2aNyKwSdDhTIQ2o1S/XEmODyAjZBbMiAaLErpXb5iAio\nsDVONq7OXiom0PWHHeM29EYg/xTER6dJdeuqq8D+fguEi7HIuVySRmcAbGZQdKyzO9JSX4KGASjM\nb3w5Q4RS21DGYJL6n1YHqNVBxo75Z9ljcua1Pc6VLGWg9V+D8nKA3MPS7yenQhh/p3Rdy20Q//M6\nEBkNOnIQrN9gAACLjJLkTmjTOKvCOED7d0Fc8YYUcjHlfggDhwXeiNWfmL0gJ0yJKZ736eue/VAV\n/Bb/bzGwbzuEWU8AfQZ5P+6dFyDccifQpUednPKzbghBSRhZyfUx1lLpeVDmbrC4RCm2uimwWaSE\npGBogBtX/H4V2NBRYMEse3gxsFoAU+OtluRT2autrcXOnTuxe/duHD9+HFarFXq9Hu3bt0ffvn3R\nv39/qJrxYsscO95mUi7ZuFR2ATh9HOKGb4GqSqjmLqw7tlwamJlaDYSFSzWBNJJFjKxmCEaXmD3Z\nAmeTLIJMJ5nf/RpeZauR7P5V2jWCSs4Fv8SZkxvXLJ1DWHijLBguXacIaXWEAGSVrI/2czaagNpa\nCLP+FyytL+hCCcTnH0btsWwIw/4G1rNfyOVWUMq/GCC+9oy0aH1SClj33mB/v6Uu1sgL0uoQzdi6\n4IprcLTBBOj1YIIACo8AiEBVlQEVgiWbpd5+qrhmDUbg9HHJYvf2YrC+gyBkjAHueczN1al68t9S\n+zXVoK8/AQ7vB0AQL5QABafBrhwMNmG6syxVlRDffwU4cxzC7bPBLu/l93l4Qly7EsKEGVKB9dPH\ng2ukvnhZgxEoOA3xwyVgU+73Xznz4SZkERGAwIDzRcGtzOGJvByge29QWanv8c1c6my9c1wezV7I\nW/zxS+DsSbCxt0qJbYEgT7p1zl4FEkXg+BGUZ+6GuOE7oENnUGEBVM+9HVj7AUKl5wHGwExRzjsa\nko1rMAY9iaTfN4Jddnlwa1wH8juF+YA6DCzav5WpFKxmIKlt4wgFH8re+vXrsWbNGqSkpKB79+7o\n168fNBoNKioqcOrUKWzYsAHLly/HuHHjcN111zWagJwQYHN5kclo65Q9IoL4f4ukTNDI6LpsWqUN\nh3p08vfsyh7MZc4vfqPRPWbPD/cJVVcBmXuc1sN1etEZTKj6fClw5BBUT7zk9+nTrq32ZIMyIDFF\nqVXGbI1k1ZPRG4CSQpBWV++Liiorgbwc0Lefgdktd0xngPDqR4qCwaJiIDy2GPTDatCBXW7Knvjd\nZwABbNQNYBqt32LS/p2gIwelZfNO5Un19S6USMkF3fsA/QZL61WePQXasg7i0/cBajVYmI/in8HG\nWzUBdO4MYL7gkqBhBNn7tJQsYwSt+xIYOdZ3nJkj9WWbAlIwvVYPFhMPcddvoL92QJg+B6xner3N\nM3UY2E1TnLaJv28ADv7lvO3zpaAjWWAJbYBO3UCnTzRY2YPVArS7THrOT+YF10Z9bu64RAj3PAbx\nnRfAJs6oG2/qgSxmCD5in9g110t9uLoKaNsBrE0q2IBhwU+ebGawxDb193f76j0MgPjHZtBn7wMd\nOksyhYUD3XsD54tAJ4+BnTgKcd+foNXLwK79p2QR9ALt+xPi1x8D54vArry6LvyDCMjLgbj8Dalo\n98BhEB5bLE3gnnkguHN1/e2qSiD3EFj33u77fvlGGidumOS83WaBEKQbl5miIO7+HaJKBWHyrMC+\nbDM3intbrmELpgLr3R/i/FlAeASEqfdL98PfdqwWn/22oXhV9s6ePYvFixcjKirKbd+AAVJW5/nz\n5/Htt982mnCchuNr6SDHFTRo+xagpgbCk69KM8yn73Nux9GaJlsE5ZmxS8wedEbFham4A+sJLKfT\nxyG++pRkPfrnrWBqteRmcFgrkvXqD+19/wvbJ+/5f/5EED94BTBKiSVs0kxJ8T2RC0RGNU5yhkx0\nLMSFD0nK183TJHlKikC/rYcw9lZnOT/+P9CxbMlNO2SUst3VksTik0BdrwAyd7v9HK37SrJGdb0C\n6Oafi0b887+gLz4EGzAUOHYYaN8ZuFACNvKfQFQ0hH9OrDu4c3ewzt0h7vgVtHOr74YbmEhAh/dD\n/OJDsP5DIVx3Y9Dt1Ps7J3IhvvA4IAhg/7qjbkfb9mCDr1U+srG3gtZ9Cda+C9C7v+825exlX7Fj\ndoS/3Vz3/xeXAbW1YJ6SqfzENTSDqipBm74Hmz4HrO9VoO8+C00spbwySJBZpFRdDdTW1tU19ABj\nDOiZDhgipWvpp7JXX+yTMGEG6JY7JQXo6GHQtk1SxYIglD2qqgREksZCH/HESjKGfO0LzkhrjDv0\nbdWDTwMAxP+8LsUqFuYDl3UHFZzxLcOxbLDLLgf7+3hna1JVFcTPPwAbdj3Y8L9DazKhxmyWrr3N\nGhpXdt4RiJ+9D9Wzb7rvsxfHd9/egBIjPftDmPEwxE/eDehrckF9sgW5XrkXxG8+Ba1fK51n5+5g\nnboCKR0g3DEb4itPQujW0/+kC1+JRSHAq7J3xx13eNulEB0d7ddxnCbEV/kHu4WOampAX38MYdqD\nktvKICtrtdK6tIDzsmI6lyQNq3M2LlOrgQiNFICsJGiYgAKXNXUdoO9XgY0cC+H6m5RtwpT7nY5h\nWh3C+g4E3n/F//OvqgQEAcKCN0FrVoC17wzo9BB//BL01w4gyUtsTwgQHlkEVNggPv8w6PJeYFf0\nA84clyyNrspe2QUI46f7Z9HRGyC6WBHk4GykXBHYy/zoYbDrboAw8ga/vyL0Hwr0H+r7oCDWBhY/\nfQ8gArtxsjT5qK6SLI0hhsylEBc/ClRXS3Ugb7lTUoIcEk6YKQrMURG7ZjTE7AN+vSzo/ZfBhoyU\n7kMArkLmK+HFX7QuiUH2tVcF+/0inWRtbggkilJ4glYnWUCDiaEq96MsjYwcdhGb4F/b3jwZDjBB\nAIRwoFtPaXL753/9a9sV2XWqNwJnvY9vyngpl5KxlAHtLwNr2979WHkybZUshnT2pG8ZrBYgKdVZ\n0ZMTpCxmKfTC4TqzsDCpskJVpTRONwSb2et4Q1aL9C5wk9csVYIIAqZSgTpdHrjXoKLcraB+SDhz\nAmz8dLCEZIhrP65b6abdZVJN1wsl/itwjbyChldlr6CgwK8GEhMDjCvgXFx8xa/YH3r69WcgNkEJ\n2GWCSlLoLGap1Arg7MZ1tAhW2me2roOGwQSUnZdW7dBofVp6qKgAdHAvhNtn138+yvqINZ4HElcs\nZmntSY0O7LZ7pW3JKVD16i+9tBpxnUWmVgMGE9iAa0B5R8Cu6Ce9GD1lQPtTpkPG09JaslKvNwQ2\ne5XdcaEmCMse/fozEBUDlj5YelGkdgxpmQUSa6X1Zc8XAeowSRkPCwMzRoL6DKwrt+INPzPKqaQQ\nKCmS7klqxxBJ7yeuq+K4Whf1BuDUsYb9RrkN0GjABBXIW7Z2ffiTvCIT6NKDrp4Gf9oPeoUU6beY\n0eQ2AXM+Ts7+Nzt8z0t/k5O7rBawrmlATpZvGTy5w3V66Te8xmvbn88GKntktXq/NzYLyFM8tB/K\nuE+0OqCywv93AFDXR0NcIYBsFggx8crKLEoVAyDwflVfOasG4vVKPfCAfz79zz//PGTCcBqB+jqQ\n1gD6aiWE++c7bzdGSgHFjsqe/WXIdHqpDEhNDej7z4G4BPcZut4eSKvVSrNovdHrYEhZe8F69gfz\nowSKsj6izexfoK2PgZ8Jgk83UsjQG+usKVYvM+GAlT2Xaym7RgLMYCSrGUJjzCYjtEBNNai62nds\nnyxHVaU0805OleS3WSQrpQd3dbDQjt+ArL1S/KExEiymLiPQr2BqfxVYi/SSJZs16NikoHGzujs/\n/0xngNiA9aUBOJdM0QeZRepPPKOM3iDVGfTjUBJrFauj3zSkULVcY1RfT+kUuX17/yFLGQRfyl7B\nKXsJquR6Jzwen2FZQfaWBCMncTg8A0Fhs0iTb0/JS1YzoHZ+9oO6Py4wQahb/ck1+cOXnEDoY/bk\nyZR8PR3H8UDLxDSVZc9Ridu0aRP279+PW265BfHx8SgsLMQXX3yBnj17NppgnBBRT9wQG3od2BVX\nSllKjsjKnky5FUi0x89pJcserf0IdCwbwtzn3Bs2mKSsJNkaaE/Q8BgnYinzXPTZG/JL119lrxFn\nS35hMAEnj9bJU1UJqqkGcxwIA3n5eUp2keOUXDLx6sWfWnBBUKeUW/y7t4pl0l5bzWaV4jW3h9Dt\ncr4IdKEELBDF2hGdn+VkrGV1Sv1FV/Y8WPYcJzuhKMrsaOUPtu5ZAP2dBVSjU0ocU8JP/CFY6ySg\nuMnrX+7OAghCXa1Ms4/SRTq9ZPm0WqTi8jaL7/g6T/1ZbwAVn5OqDXiyfgW6Lro3HJUoV2XPZgVc\nLXtybcFA7o8n9Cb7O8BPZc9+b0JekFkeP+XnymE8lQtA+zVJsdfLDCTbP1D8KgD2+eef495770Vy\ncjLUajWSk5Nx991347PPPms0wTihQSrl4V3ZEW64zV3RAwCjSSrmKrdjL6ECANDpQdu3gLZvhnDv\n4x6tIsxgAs6drRvQ9QapjMKjU0EV5c4HN6bbpZELVfqDU1yT/K9jyRv7UnR+K3s6vftaw7JlL9Bi\nzn4kEQRNIIWVrda62Ce7osTkDOpQYSmzW9wsYMHEDPmhdMiB4NLAbw06NiloIjTSZKJW6htkKXOu\nHxjoZMATjhMEh7I0gVDv6hmOBKKMBWMdkRWHIFBWNqmnKDLJMYfytbeUeXXjMp0BJCdzmKKkUle+\nlpr0cM5Mnph4u8ah6AeAg8XSw/3x5MUI1eTbcRUkPyC5pmMoFFxH5DW1wyOkZTgvFDsUxQ+ktmzj\nWvUAP5U9IsK5c+ecthUWFkJ0rAbOaRaQzYLaN58DXSiWNngpqFwfzBjlbNlzyMZlHbuCJSRDmLsQ\nzOilCKQpEnTqWJ0FwBQNRMVI9dpcB0XXosz1EcBD1NhL0PiF4xJNnmJHqqqkbNCwcL+aY4JKioN0\nVBjl9UB1BgS0nmhD42d8EchLWrb0OM6Q45OkBKKGrNLgiFm2uAVn2WP1rV8LSC9lEiXlvjEVaS8w\nQVAKnwNwv7/BFip2xMGyxxgLblWKgNy4gUwaglAmwsODUlgB1Llx7e5z8vZOlK108lrTFpdyVY7o\n7S5KpdZlPeOdzUNcnt4IFJ71Hq+tM4RmSTWrQz9zgGprpXjtcpvzNQnVMxFwHGfd9Q8Vbi5pnQF0\nzkHBDuS5uAgeKL+UvTFjxmDBggX45JNP8PPPP+OTTz7BwoULMWbMmEYVzpFvvvkGEyZMgMVSd4OX\nLVuGBx54AI8++ijy8vIumizNGVq3Bjh5DOI7L0plV4K1bBlNzspe2YU683TvARBmPAyWnOr16yx9\nCJCdqQzoTKOFauHbQFyi+8BgNUtrQ/qJXCfPL1zX7W0K7MG7AOosfI4zzGDcfa6DnTzDDGAQJ6LG\nt+z5e5/kQHJZMa4ol/qbRhey2TiZSx3cq0Fa9uq7to6WjqZw4wJ2666c/emiCAS7jJ8DbpbRYGLe\nAul3gdRsDMJCErTCCtQlaKjsEzAPKxLJx7GEZOm+2CsEsAgvLjutQUoiUglSvKuP1TVIFL24cfVS\nGI23axyCfgDYPT5qtYeEMbunIixcepZlQmTBCniNXPn6hzJmz77UprJCkt4AFJ51SNBoZIt0gPil\n7GFlJRYAACAASURBVI0dOxazZs1CaWkpdu7ciQsXLmDmzJm44Qb/yzU0hOLiYuzfvx9xcXXBpHv2\n7EFBQQGWLFmCu+++G++///5FkaU5QzYLaMs6CI+9AKjUoO2b69x7geJg2aMTR6WOneJ/ZiHr0AXo\n1hPMtWixJ8uCr1muJ/RG/034ckxNU+I4WMsvX6fyGAG4cGVcX7CyUq/Xe3/huFJVCahUfiVQBINk\nCfPTAmuzW2B1elDROSDCHtcTyrVMLWWS5c1cGnzMXn0vC6tZevmVnpfquDW0tEUwaPXOsVSOz394\nhGR5rK4Kvn1X5SKYdV3LrX6/3AKZ3HldB7w+gigVBMDZK6E3eq+1Z7MA8YnStSu7UM9Sg3rgfLFU\nr1Ru19t4V1EOhEW4x+XJCXLeroU2RC5NqxmIS3R/zpXxyHmCFPT9cSXQcUHxFIRQ2XNV0OxF9Oti\n9kz+K6RWc939biT8Xhu3T58+6NOnT2PK4pXly5fj9ttvx4svvqhs27FjB4YNk9Zj7NKlC2w2Gy5c\nuOCxCPQlQ2EBEBMPFhsPYextEJcvkUpMdA+8Wj4zmiCaS0HV1aD1X0uFOf1Nc7cj3DLNffBzzRYE\nAo/ZC2Rhequ5UWvp+YVWB1RJpQJgKQPik6SYJXl/MJYm14BwqwVokxqYm64hC5L7QyCWPXscGNMb\nQUX5DrGeDciUdEVer7moILh1Qf2ZqVvMkrvInpwUqvVXA8IhNomsZggOz5aSOGO1SGEVweA6OQnW\nsufvc3kxYp/0hqAmFWSz1F1fBwu+u1xmqWB5RARQVOC97Aog3R+iOqXBHvPrsSd5S7DSGQBzqXO8\npiN6PVB0zvO+QJATqbyUgkJtjbRPXvrN5r+S75NAE42sZqDT5VLJltra0CyR6Wq51xmkQuFBZOMq\nYTiNiF+Wverqanz66ae47777MGWKtDzPvn37sG7dukYVDgB27tyJ2NhYtGvXzml7SUkJYmPrEgNi\nYmJQUlLi+vVLC3OpspAy63YFWNcrwK4ZDfQZGHhbxigg9xDEh28HncqT2gkQ1r4z2BVXOm/T693d\njAHH7Pk/MCsB1E2IFEelVwqQSu4cR8te4O4+ea1hBVlx0+n9n702UiauQqBuDJ1e6gfF5+qUiWCs\nRt6QSwmdOxvc2spy/TN5hQwPkNUsvfxqqpvGhQs41cH0aNlvaHC+S39l9tIogeDPusEKgbzYg419\nCjQGTMbRK2EwAWUXpEmdC1LssGTpooIzvpW9sHDJOqwE+vt4jryMHYri4CtBIxQuTZtFWsPXUyko\nx5IkyvYQTTD1pgATNKxS0mCoLJqAW19T3jOO983f56IxY6ft+GWqWb58OUpKSvDAAw9g0aJFAIDU\n1FQsX74c119/fYOFWLhwIUpLHTI/7WnmEydOxFdffYUnn3zSr3aaZBbdjCBzqVPChDC1AesfxiUA\njEGYsxCsY5cQSGfH0yLd5dYAlT0fM2hXgkxQCTkGo+S+qaqUVlVwGGidlqLzF5eBRFlX0UEhqfd5\naOw4EZ3B96oCrrIktpHkcZgd+7RqBABVV0srZrRpBxzLCS5BQ60GwiJ81wmzmsFi4kCOL+uLDNPq\n6yzHFg8xuy7KU8CWDlfLnkGKswyonYYWEffarkUauwIkkDIZTjjERDO9EeL7L4ONHue2HqyiGOj0\nwLkzPiegivXVsZahV4uhD8se4HVcZTo9xIbGbhJJ1zshCcg/7bzPJim3VFvr7oGIDtKi7Eiglj15\nKTJZca6vgLofKAq8o0yAy30LZJLSuOOFX8ren3/+iSVLlkCj0SgvkFBa0ubPn+9x+4kTJ3Du3Dk8\n+uijICKUlJTg8ccfx6JFixATE4Pi4mLl2OLiYkRHe67nlZmZiczMTOXz+PHjYTQ2AwUgxFRUVYBi\n46ENxbkZjaC3vwi5Al0RHQuqrFBkFC1mlEVoYPLT/R4eHg5dfAIqK2ww+HGeZeVW6BOSoGri+202\nRSGi9DzK9UZExMSBLKXKNaisrUZtZDR0AchYHhMH1FQpbZgrbNAmJEIdG4cLjMEYEQ5WT7xYlViL\n6sho6Bvp2lTFxqP6+BGn9sPDwz0+e9bqSoTFxEGdmIwyAGGRUdAbjSiPjgWrqYKmgTKKxYUwmyKh\niopBDYnQJyQG1SdKjSboQV6/W15dBcTEocpggsoU6VcfDTXlUTFgtdXQGI0oLbfCkJAEwUEOiykK\nEVSLMKMRNVl7Uf7ROzAueqfeduV7Z6mqQERsPMLsbVbEJaLi43egPncG+gef8ktGc2U5tPEJUPtx\nfSgiHKU2MwyG+pdXs1ZWICw2HuEBXndv/UwsPQ+m0YJFaCBazKjZ+wdqj+VI2bvVVagtLoQhqQ0E\noxE1141FZZgazGpWnmUiQuU3n0EsPgd9QiLKTVFASSGEuESfz3uZwQS1fUyojI1Dbf5pj8dLz3CU\n2zNcm5AEMwBNTCwi7Pscn72auASUV5Y36D1I5TaUqsOgTWyD6uO5TjJU1lSjNioaqK2FqrZGkcFW\nXQlVTJzyOViq4xOd3gG1BWdAljKoUjuBhbtXNSgrt0GfkAibMRJaiEq/qz2VB6ooh7pz94BlqKyV\nzlG+LxXRsagQBBjjpUUGKCIcpVb/+q2tqhKqtu3qvS6rVq1S/p+Wloa0tDS/5fVL2VOr1W5lVsrK\nyhpdYWrXrp1T4sXs2bPx4osvwmAwID09HT/99BOuvvpqZGdnQ6/Xe43X83RRzOYQF1dsBoiFBYDe\ngJpmfG6iOgwoOKPISOfOAHqj3/fDaDSinKkgll3w+B26UCItJh8rrUkqmkthhQDWxNekVqtHed4R\nkM6ASpUauHBeuQbi+RIgLDygPimGhQPHslF95hSYMRK15lLY5PPUGWAuyK93VQix6BwQHtFozwKp\n1BAvnHdq32j0fK9rL5xHraAGakWAMdSESXKJ4RqguBDVDZSR8k+D9EbURmgBAFZiQfUJ0upgPZfv\nnnhkRywpAhLbgHQG1IZrmmScEdVhwPkSVJvNIEsZLHA+VzFCA1tRIQSzGbVrVgLF5/ySU753teZS\niExAhfwM978GTKVG9W+/+H2+teYy2AK6Bwzm4mLvGaxyu6XnUSuEoTLA6y6GRQAlRW79rPbfTwPH\nDkvrnJpLpaSzzt0BQQWo1BDunw+roAbMZiD1MlBaP4jbN6NWvjYVNoirl4EN/zusGj3IGAXatx1s\n5A0+r5Wo0aLa/myK6nCgpAhlp06AuRQoF4ulZCbXtogk5aJSHYYq+z7HZ48gQDSXNah/UnEhoNWj\nQqWGWOr8nIvni4AwDSDUoLqkSJGh9kIJBFWdTEH/tqCCWHoepb98B1r3pXRvRBHsxskQ7CFHVGED\nbfwewt9vkd4DxCBqtLB+twrsHxOA4kKIbz0PJLWF6qnXA5ZBLJHOUT5vUR0O6AxOFUMgMJiLi9wm\n3iTWgjb/CNaxG5DSHqIf18VoNGL8+PEByynjl7I3aNAgvPnmm5g6dSoA4Pz58/jwww9x9dVXB/3D\nweCoHV955ZXYs2cP7r//fmg0GsycOfOiytIsMZdKrrDmjGuCRqDxeoAU73K+CHShGCxKUmiouBD0\n33Wgjd+BXXk12LQH60qLNHXpFUjuSBSckVxeruVRbBYgOs77lz21l9IR4uYfQfNngV13o3OJGdlV\nXt8SYI0dJ+KQiUeVlb5f1HKChhzf6FiYtFgKJCci4OxJsDbtvLfjDbmIrXKNgix27KH8ChEBB3YD\nV1zpkIVoaDI3LnR64Ox5yXVdUyMtXee03yDF45adB47n+i7Y6wmXsilMqwPaXwb6ea3/bQQapyq7\n33z0IbKapSzoYBM0Th4FVdjANA4u+rILEB5aAERGAZEx9VrL3dyL9vXFhQkzpM+33g306APWsavv\ndhzcuCwyGuKOX0EHdgGpnaB6dFHdcVYvmfzyNl8xe+eLIa54E6iuAhgDu2ESWGwALnA55tdT/J/V\nKrlra2s9lIgKwXOhMwD/n707D4+qPPsH/n3OTNZZshJI2AIElAREECibomB/bq11A9G6xKVqVUDE\nnfpSihSsuKO0KuJWLVDqUt+6vbW4IFQQohBUZBMDCdmTWbLP8/vjZCaZZCY5M5k1+X6ui4uZMzNn\n7syZ5T7Pcj9FRyD/d6P62o4eB/nWq+7lwkqOQX78LnD+HNfvgPL/LobjfzcAu7apr9GoPKD4J/9i\ncP6NTgZj59fbuZxgx/dNZTnkP16BTMtQfxccDuDnF/kXh0aakr0rr7wSr732GhYvXozGxkYsWLAA\ns2fPxmWXXRbU4Dpas2aN2/UbbrghpM8f6aSlBorW5WPCRCQa4XD78Ps4ExcAUtMhzrwAjt/9FoiN\ng7L0Kch/vAJIB8T5cyAPfQ9ZUQbHQ4vUOkhBKi3iE4MZcs9OICNTXVvYrc6eDRg41KfdiZPGQLf8\nWciyEjhe/7NamNlV3NMA2KyQVRVAU6M6IcSTYBf9NRiB8hK0PHwfcPBbKA/9GfDWG9B+ski7L01h\nVNdUls1NcDz1B+C7b6Cs2ejzskLSUquOZzWa1CWkNBaw7sRTzTebBY6nlkH85q7WdUrNkAZzWCdo\nyK+/hDzwLZCc2qkLSeSeCseW9yCkA8r8B+H40/2e1zb1QNZUAbVVakuX23Nqn/ShFqOt9339Wrul\ny7VcHfffpL53fElYWomswXC88zrk40uhu/+RthvsNqBff9dJpaY4O5VEajeIP9EAMfWs7uNJbHey\ncNIYKI+8BJiT4bj1UrVCwj9fB1ockMeOeJxZLnQ69fX1lliZkyAmTAEGZqvvl4/fhTjyg2+vnasQ\nuodZpzYLMEj9TpM/HujwmAB8LlLSIGb9AuKX81zjH6WhdVy0k3ON6sYGdXZzbCxE7qkQRw+qVSKk\nhMjIUj8n/mj3NwKt4z49jo+tBVp7mtwe2z8LugefUMetSxmYGcJd0NyNm5+fj/z8fFf3bV+fDBGR\nLDXqmraRrMNsUWnpejk3T4QQEL+6EvLcS+F4+B61lc9aC+XnFwL6GPUMuLIM6DcAyl0rAv0X+Cc1\nHWhsgHLOJeri4HYbZEkR0NSkJul+fgGKfgOgLFgKVJa3FfdMNEKWl0BuXAcxNAc452I4Hv0dkN6/\nQ6uAtecLoXfFnAKkpEPMPAeypVltdfGmfeLpHMjuvGyzqmUiSovV1jm7tfM6nF2QNgtw8Lu2lr0e\n/Ng4V9Fw+/azWYG4eMg3/qKeoRtNbauZhIEYOxEQCkRGFpDZubyJGDcZunGT2zY4C+x6eE3ljwfh\n+OtaQFHQNOc6yI//F+L0czqXifBlhq9rfVRNxSDaYuxisLtsbFA/X0++7tdvk8jJhXLvw+rnxLlP\nKX2fPeqpZa+rmbfe4rlgjutxQtG1lclxTsDauVVd07xfpnq8PcnJBVL6ebxJ6GMg8he6rju+3+Ne\nDqobsrYKjo/eVpNgDwWapd2qfqeNGgO58UXIynKI1PSA9bQIfQzEvN+4bzSYgONtrXTSZlFbtqsq\nAEO7nMVgAkqKAEg1CWtuhmxq8rlRwPU3Oo3MhXLFTZ1j8vS+bXcS4NPnoAc0F06z2+04fvw46uvr\n3baPGeNHvSoKjmhI9jp+MVhr/PoyBKB2C5qSXGdwMJgAnV49G7dZAFNSUBeW9oU463yIM8+H0OnU\n0gtHD8GxeknrjNWfgPP9byUXQridOSpnnQ/Hc4+oZ7Pp/dWab0kpwKHv3GfpBnmFBxGf4BoL07Lj\nc/ckv7IMqKqAGHFy26y+9pXnnZedSYRN7Q5DnV09vlpbWgC1u+TID1AuzW9bI9Nfnlox7GrNOOWa\n29T34tAREGdf2LZUYIgJgwniZzO1P8C5xJ6H11Qe+h4itR9w6s9Qv2k9ZFw8lKtv7byPuHigpaXb\nH03Z3Ay55T3fW/MTu6lZ5hwG0JNGiI4rVTS2dm/68h3SoTizv0WEvQ5VcL7/rBaIX13VZW023QJt\nk2XU/fpWjkdu/ViN86rfqqvcdKxfZ3PWzTRCTJsF+e7fgKt+G9RyT8Kg9gK4OEs2lbovG6fer/WE\nbcCgtiECvtad7LC+sYiNAzp2z3upJhCOkmCakr0tW7Zg3bp1iI+PR2y7mS5CiE5dqxQeUkrAUq3+\nIEay1vEdji8+Bgp3Q+7bBeW6O/zenWvZHGeyoNerZ74dp8WHmVDaNdGn94e49naIiadDxMWp8Qcw\n6RJjJ0L5nychD34H+cW/AWstRFoGZNER9QesddyT2uUYmi8ckei+mob8+kvgh30QI9RCp9DpXUmC\nct5lbS1SzgLBznIfQvhcI05aaqCcPxci91Rg/17InpwQJRo71/dqPdEQQ0a0bRuU7f9zhFpXddxa\nu5uUKWfC9PNfeh3Q7yoXYreqJxbe7NsNue0/UK5f5FOIHltU3eL0b71jN/EJQHMjZHMThD7Gv8Qk\nNg5wONq6xf0ZptIVg7G1hJOP3eDdSTD4XKRYDD+pbWkwZ/06Z0mTdidv4rxL4Vj7MOSSW3xPnn3h\nqVUVgCwr7rBkoJowSwCKwaR2//pTZNzWfaut8FYQPAwlwTQle2+88QbuvPNOjB8/PtjxkL8a6gGI\n7gcQh1uiEaizqV2MF10F5eKr1KKc/nKekToH/iq6tpa9CJiY4YnQ6SCmn912PQhxitalgVyJsLGt\nBp9rkLsvtc56qlOLrqUt+es44P+kse0eZ3L9HcJgghSK70VR2//g5uRCueU+P/8IqH9H6XG3TZF2\nYuGzrrpgbZbuJ/o4GbpP9qS1FmLYKHVGqy+6W0UjAHXKXAmrtbWVx4+TMCFE2ySe2Dh1X4FcBstg\ngixVk5eAdv8ZjECND6XU7O1WxXA+vn39uvbJnjkFyt1/BI792OUEmx7rNF6y9aSsrMT9vdG+Rqmr\n9p4fhduttd0nbF6TvdqgL4/WkaZ3i8PhwLhx44IdC/VENHThol1h2szBUM48r2eJHqB+YCw1QL1d\nbfmJT1ALF1tqwjcbMlI4Z8k5ZzwnGjwMHg/Ra9Rxxp7N0na9qxaU+AT1RKb1eKqTW3wsBttuBqBQ\nFIgeFFT1uAC7P8vdRRDRcXZ4ezYLNK9brWVVBqufLV3dFdEN1Mzy9kue+TtztP3rEOCWPWEwqScb\ngT5B9LFlT3b8zHZKtNyPh1AUiMHD1HGkweLhhBIAZGmx+wm1sTUZdy7d5sfqKdLRou1k2WDyvIqG\nv5+DHtCU7P3qV7/C5s2bO9XaowhSVREVyR4AwGCAmDgjMPsymtQ1geMTIBSderYbn6iuPxmhLXsh\n4/wCdrZydiwbEuzl0txi8ZDs2btP9lylWJyLuntaW7k7Vh8Slu60W3fWJULK+/iti/FaPrVaapmk\n0aPlzLy37Embta1LsSfa/zgHItb2JZECwWCCPFEc8ERBGIyQdT58ruw299e73XtInf3qADwUNw4q\nZ/ds63KG0lqrjkPtMGbPdYytasutMJjU+/rCblPXvu5uBq239XHD8J3htRu3Y9266upqvPPOOzAa\n3T9Qa9euDU5k5BP58bsQ46eEOwxNxJnnQ0w+PTA7MxjVMRntPzgGI2RZCYQ/awL3JgmJaitnbTUw\nZIT7F7KjpetlvwKt4xJdzkk1QPfdZYkGyPITEBkDAIf0bSC5c0ZloJJaj2Um/BjvE0kSDeqYN098\nSHjUcZldjKsD1B9YP8YzCkOHkk0dBeoYG02uLj3nkl8+a/delzYrlECP2du3G+g3IHD7BPwYs9dh\n6EViu+XmWltZQ12xQ8TEqsN4GurVHoHW8aY4+K17K2NMLKDTqd+LBlNbS58vOkzO8BpTx0kjrUI5\nXtrJa7I3f/78UMZBPSCPHoI8+G2PJjqEknJe4OozCucYltR2JQZaW4JCPdsp0jjHIMnSYvUHJ9Gg\nLggOtCt/EdzaTq5YEo3ua3HaLGr5GUdL961HBhNQVgwkTldX2PBlbFFjA6AEcFC4py4fuxUY6Eeh\n50iRaFRbTj3xpRvSYNDWsudXN66W2bgBKOlhaDd70s86lG7r7AZ67LDBBJQWd1+U2ef9+thibreq\nx9v1+HYnDIGYLOMv5+czPkGdsTw0B/L7PZ1PBAytw39iYz3XzuyOlvF6rng8teyFvhvXa7KXm5vr\nurxt2zZMnTq10322b98enKjIJ/LIDxB5E7pdSqhXMhjVD+3gYe7bjh6M7q61QGn9cWjrAm03liiU\nr0/HLz1nt4lrpm1XLXtG4KfD6o9oSwtQfFT789oCPUC+8w+DtFn8rpMYEbrqfrX60GKmYcye3y0a\n3Y3Zs6nlb3qsfbeb39247WINeDeuEWhuCnyikKAhUW+vY9kmQ8fXLVzJXuvnM61fW8se4GFlC6O6\nvJoQ6mzc1lV6NNPYsue1G9eXz1WAaBqz9+c/e14k+y9/+UtAgyE/1dmjeoB4j7SOxXJrxXMV5I3i\nH+BAMaizn11j9lxfyCE+++441s5mca300V03rjAYgZbm1gkaRvfVR7oT6C/VdvXkXEI59jEInGVN\nOpIOR+uPusbEQsuYPb8naLjXr+skUMfA0K7Wnr/77Jj4BHqCBhC4MahOrS17zvFuXZEOB1BX5/6b\n037cZ5Drd3bJOW6vqVEtqNza49Opl6dd4XZhNHl8/3dFWi3qEpjdxmP0PEHDl4lPAdJl6ZUTJ04A\nUGfjlpaWur0RTpw44VZzj8LIWYOsL2q/xFYrkWiEBNiyB7S9Bs7SKyeK1OuhPvtu1yImW1rHCw4a\n1jorztr12sDtV9NoavKtu0lDLSxfqF3jBvcSI85ZfdHKW5JWbwdi49QZ9FoYjEDR4a7v4++PXHcr\naARqDJTRBJw4pl72dzlBgxHy8H7I4p/U93kgv5ud77NAT9CIiQUUxa0Op1eehoAkmgDbQQA9GOsY\nCM5JaK0nFcJgav0t8NCN29LSdtmvblwN7+PE1tJRDoerVI6aLNvcu8FDoMtP8YIFC1yXO47hS05O\nxpw5c4ITFfmmzgaYgzilPZK5Vlro0LInROgmH0QwYTBCOhOUduNqpD1Asxe1ctZXlNI1kw0ms2vs\nXpc/iK7WDKP6Y+Rrd1Ogf3icPw7OZC/ARbFDztsMZx9nDKrjMrtJxG21/h2PuASgucn7Ch09XRml\nVfsB9f4mkGLYKMivvoDjT/epMzYDOS7WucRWAE9gXJwnMd0lex5KDTlXpQDgf5IcAMJgVFvdbLVt\nvRlAp/exMJrUJRydt1lqIPcVQG7/D8SVN0PEd/PbYa3VdNIi9Hq1N6De3vaa1NlCOl7aqctkb8OG\nDQCApUuXYtmyZSEJiPxQZwvb0kzhJvR6dTBu+x+QBEPgi45GK4Op7Qen/SQJf2uI+Uno9eqawHX2\n1h98k2v2pvqj2s2YPef/DQ0+tewFZVmijq1MgarxFi4GQxfjinz4u7oZsycbG9S1g/0o/N7tCh0B\nq7PXvvSKf58RMTQHusUPQZaVQO7Z2fOY2nP1ZATh/eZM+rsrou3pBKr9eyjM3bjyq63qCj2p6R57\nfpzXRXNrsmdOBo4fhWPTeqC6AqL8BDBomPp+rbcDpuTOM4utFqD/QG0xOQt1JxrV7uXDP4Tl+0JT\n+7wz0SsvL0dlZSVSU1ORnt5FtwuFlKyzQ0nsw61Y7c/gAPWDHc3daoGUaGzr8mk/6ywcX8iG1iXT\nnOO2XHUAu/mhTjQAcfEQ+hhIX+vsBWMiSrtuT9nUqM4QjpA1mP1iSgZiYiEL/utersjXrv7uZuPa\nrIDB7H9Jjo4tqmgtrdPSEri6ZQaz+2ekB/sU/QZAzPpFz2NqLz4REEpwZnImapyk4anlrn0NT5sF\n6B+AyTJ+EFPOVFsmk1LVUmQ6vdo93bGlrl8mEKuedIjkVChPvg6RaETLn+5r6/34302QH2wGRoyG\nctsSiNbWTNnUBGmthaK1OLvRDPx0CI73N0Pu3AqYkyFOPiVQf7JmmpK96upqPP7449i/fz9MJhMs\nFgtGjRqFhQsXIjU1iutL9RZ2K5DQh5Mbgwmi/fiHBEN0t7QEUseuDGeiZLMASSH+7Ca21kpzFXlu\nbQnqJvEUBhOkM+lISAQa6iAdLV67QWR1JYSz7p3NEvD1ol2raEipzuJLNIS8plggCZ0Oyo13wvHs\nSih6PZA3QZ2laLP41l3Y3QQNm8ZyFd6k94fj1WchstrK3MijB9XZ5vUBmqRmNLXNFA9jd6Q3QlGA\njMyu1x/2l5YJNoDnz2v71m5b6MejOYmBQyEGDnXbpjywulMvj3L6/3N/XPveA+drUFsFccXNwLEf\n4XjgJohJM6D8+rdw3Hu9WtLp3Eu0BWUwwfHCoxD/72IoDz0LYQ7CsdNAU7L33HPPYejQobj//vsR\nHx+P+vp6vPHGG3j++edx7733BjtG6k6dvU+PTxMTZwADs9uuDxgIZOeEL6BI4lwOCHBvebFbgczB\noY3FaEbznp2QMfHqTDaDCags6/5H1WBsW2dTUdRu+7o6j61O0maF497r1TPxUyapyV4gSnJ0jGf/\nXjh2fA78UAiM8HGd1wgkcnKhXL8Ijr89D1RXqq9xQiLEyWO176TDCi2Od/8GcdoMiMzW19/XbuEO\nlFvuBfYVQNZUtW0bNwnSboP8xyvdr2agReusUtnSAjSEsOi4D3QPBWchA5FggKyt7rooNrysqtLa\nayD3FUAePwrlZ2cEJUZ/iKHafwucSwcKtI7ZNJohrrwZcvpsOJ79I+TcGwG7FWLqLM3fK2LCVIiZ\n50BMmObnXxAYmpK977//HnfeeSf0rbOy4uPjcdVVV+GWW24JanCkUV+ejQtAOe9St+tiaI5PH/De\nTIyZAJGRqV5pHTvScnc+0NwM5ZTJIY1FmXM9ml5do66GMWWWGs/Rg923ygwbBeXyG9uuJxi8dzHa\naoGYODjWPwExfirk/kIo4wK7korIGQ3HZx9C5I6HuO0BCL2HCQNRSIyZAN1Da9V1T+vskB+/C2SP\n1L6D2DigxeGaRCE//l/Izz6EcuUtQP8syGNHezS8QsTFA+OndEpGBAA5KTAr8gh9DKCPVU9CRplC\n7QAAIABJREFUEgx9atyvmDAFjteehTSnQIyb5P2OniZo6GMgzrpATfBPPgU4KfTdlAHh1kLZrmxO\n/4HqyUrrZCzlWu2LTigzzw1CoL7TlOwZDAYUFRUhOzvbte348eNI7MvjxCJJnb3PTtCgrgmj2VUi\nQOhjIM69BGL0ODj+879AVmhb9sSQ4TCu+DNq/7lB7YprqIejuEgdj9dFq4yIjQPaj3Exmr13N9ls\nwICBUG66C/KbnRA5o4Hc8YH9OybOgC5QaztHIJGotqSKOdf79rh2ZWmkOVltAbnmdjg+elttLQQg\nTv95MEIOTKuek9EEnDje506gxWnTISpKIb8t6JTsydLitpNGLy3xyrzfhCLM4HIrPN9uIkpcPOBo\nAaorAlrKKZQ0JXsXXnghli9fjlmzZqFfv34oKyvDli1bcPnllwc7PuqGdDha1zhNCHcoFAWUS64B\nAOhGjwvL8wudDsrsXwIApKVWLZHj65ent0KlgKvVQWRkQZx9YQ+jJZ85i+vGxAIxsVCmzQamzQ53\nVL4xmCBLj/fNcb9GM/DTkU6bHavugfK7xyFS09Xjm94/9LGFQqdapK0nykIABjPkieNRO/lPU7J3\n9tlnY8CAAfj8889x9OhRpKSkYOHChRgzZkyw46Pu1NcBcXEhr9lD1FPCZIZy/59crT6aH9d+7dEO\nZB8f0hB2zvIr+pjoTZaMziUGo/NHvSdEotFVZ9BJOhxtXZip6eEtmhxsBnVVHyll59V3XO+L6Hxf\nayyNDowZM4bJXSRiFy5FMaHoXEsaadZhIoCbUBeLJnfObjCdLmq7u4TBpHZb9sX3kacZufV1gHS0\nK0lj67WvjWitRSoaGwEh1CEkTgYTUHo88HU7Q0RTstfc3Ix//OMf+PTTT1FVVYWUlBScccYZuOSS\nS1yTNihM6gJTOZ4oanTbjds7f4iigbNQthBK1LaAwGgCfjwI5J4a7khCr315Jqf2M/iBiCxJEzAG\nU+t63bWd378GI+SJ4xAjc8MTWw9pytRee+01HDx4EL/5zW9cY/Y2b94Mu92O/Pz8IIdIXbL37bIr\n1AcZTUB5qefbArRsFvmptbyPFEFa0isUDGag4kSf7Mb1WBjbWUDcppYkCcoShJHCWbTdw+opwmiG\n3F8IjAttFYNA0ZTsbd++HY888ghMJjXTzcrKwrBhw3D33Xcz2Qu3PrxUGvVR7RZd76TO1nsHj0cD\n55g96QjOKg+hYDSpq3JEa8tkT7QePyllW6FwZykSZ4tfb072nMmup5V3nCu4ROlJjKYiQlLKYMdB\nfpDNTerZFpM96kOE0QTpbQ3WEK/5Sx04x3z1sIByWDnj7q1dlV1wjVFrbGzb2C7Ja6v+0Et7k1wt\ne5bOJyut16N1coqmlr2pU6fi4YcfxmWXXYb09HSUl5dj8+bNmDp1arDjoy7ITeshv/g3xJSzwh0K\nUeg4z7A9kHYrlD74Ix0xDEag6DDQ0hz6FVoCRBhNkIjeH/Uec06AilMTP9l+zF6dHYhL6LXVH4Q+\nBtDpICvKOk/EaL/sZBTSlOxdddVV2Lx5M9atW+eaoDF9+nRceuml3T84AN577z188MEH0Ol0mDBh\nAn79618DAN5880385z//gU6nQ35+PsaNC0/tsHCRlWXqF+rg7HCHQhQ6XU7QsPXJFplIoc5mtEE0\nNUVtd5eztlq0/qj3WGthbKSkqdftVnUdbdc61r28JynRCJSVdPoeEQb1JCBa3xeakj29Xo/LL788\nLEWUCwsL8dVXX+HRRx+FTqdDba26SHVRURG2bduGxx9/HBUVFVi+fDmeeuqpqF6Q3GeWGihzro/a\n2UFEfjGYAXvXRZUpTJxjvvR6KNE6Zs/ZotdXTxraLxkGqJf79Vfr6/Xm8XpOBqNaemd0hyXf+kLL\nHgCUlpbi6NGjqK+vd9s+Y0Zwlw368MMPcdFFF0HXuhyO2ayede3cuRPTpk2DTqdDRkYGMjMzceDA\nAYwc6cNajtHOUgOYksIdBVFoJRoAuw3S4ei8dilb9sLLuYKGomtrIYs2ziS1tyc13nSstWe3QqQP\ngDxxrHeXXXHKyAT2fAVMnO6+3fm+iNKTGE3J3ptvvom///3vGDx4MGJjY13bhRBBT/aKi4uxb98+\nvPHGG4iNjcXVV1+N4cOHo7KyEqNGjXLdLzU1FZWVvlXij3pM9qgPEjodEJ+gjh9q94MsHQ51Ni5b\n9sIn0QjUVAGKErU/ikgwAKnpUduC01PCYGwrswKoJ1ADBgKHvu8TdSyVm+4BDn4LDB7mfoPRBOj1\nQPtCy1FEU7L37rvv4uGHH8agQYOCEsTy5ctRU1Pjuu6c9j1v3jy0tLTAbrdjxYoVOHDgAB577DGs\nWbPG4wxhb124hYWFKCwsdF2fO3euq4xMtJJNjahpbISp/4A+1XUdGxsb9ceuLwvU8as1JsEAB1oK\nd8FR/BNiJs2AkpqOmrh4mJOTAxApdaTl2EmjEfWzf4GGD96EKXMgRFx8iKILsGc3hTuCgNP62bMn\np0JpaUJ8632tDXWIHZyNui3vIa6lGS3JKUjs7d/BE6d12iSNRrQseRR6c/harDdu3Oi6nJeXh7y8\nPM2P1ZTsGY1G9Ovn45JGPnjwwQe93vbRRx9h8mS1iGFOTg4URYHFYkFaWhrKy8td96uoqEBKSorH\nfXh6USwWL2N+ooSsLAdMZlitXkpQ9FImkynqj11fFqjj50g0wPLHe4CYGCC9Pxp+OgJx4RVAQiLf\nH0Gi+dj98goo582BtbEJaGwKfmCkidbj59DHAlUVaGq9b0ttDRyGJEi7FfWVFUBMbN/9jA0aBoTp\nbzeZTJg7d67fj9dUZy8/Px9/+ctfcPDgQZSXl7v9C7ZJkyZh7969AIDjx4+jubkZJpMJEydOxBdf\nfIHm5maUlpaipKQEOTk5QY8nYlhqACO7cKlvUi68EsoVv4Hyu8ehTJullofoC+OJooTgMprRq9ME\nDQtgTgb0MUBVGT9jUUrz2rjffPMNtm7d2um2DRs2BDyo9s4880ysXbsWixcvRkxMDG6//XYAwKBB\ngzB16lQsWrQIer0eN954Y5/qzoSlBjAz2aO+SYw9zXVZOgeUe6p6T0Q+EVlD4Pjn3+BIToU47zJ1\nzJ7BBCQaIctKILKGhjtE8oOmZO+FF17AFVdcgenTp7tN0AgFvV6P+fPne7zt4osvxsUXXxzSeCKF\ntNRAsGWPqG2JLiZ7RD0mRo+DsuRROJ5fDXno+7ZJT4kG4IdvIc66INwhkh80JXsOhwNnnXUWlI5l\nDih82LJHpDKoSxxJmxUiWmeAEkUQ0W8AlDv/APn5/wHjp0DodFDmXA/ExAKs6xqVNGVvv/zlL/HW\nW29xjdxIwrIrRCrXeqy1fbc2GlGAifhEKGdfCGX62er1vPEQo/L61nCpXkRTy957772H6upqvPnm\nmzAa3b9M165dG5TAejtZUQoU/QgxbpJ/O7DUqMUfifq6+ASguQmorVbroxERkRtNyZ63MXPkP/nd\nN5D//QQ6D8me49VnIHJPhThtuodHtj6+ugKKmfXEiIQQQIJBHTzesRAqERFpS/Zyc9lHH3CWGqCq\nwuNNsqwEKC+Ft8Zy2dICHNoP3HBn8OIjiiaJRqC0GIITNIiIOuky2SsoKEBCQgJOOukkAEBJSQme\neeYZHD16FKNGjcKtt97qtZAxdcNa6zXZQ221ers3R34A0jMgOGaPSGUwAkcPccweEZEHXU7Q2LBh\ng9tgzD//+c9ITEzEwoULERcXh1dffTXoAfZallqgoQ6yzu7htpoukz25rwBi9KlBDI4oyiQagJZm\nwBC+pYyIiCJVl8leSUkJRowYAQCoqanBd999h5tvvhkTJkzATTfd5LbeLPlGOpO5avfWPeloASy1\nbbd3fNzRQ5BffgIxelywQySKGsJZ1Z8te0REnWgunLd//35kZGQgNTUVgLpOW319fdAC6/UsNUBs\nHFDVYck5mxWQDo8te7K5CY7VD0DMPBfIZcsekYszyeOYPSKiTrpM9nJycvDee+/Bbrfj3//+N049\ntS3BOHHiBEwmfrH6zVoLDMqGrKp0315bA+h0ajdvR0VHgNR+UM7+FQQLXBO1STQCcfEQMTHhjoSI\nKOJ0mTFce+21+OCDD3DdddehuLgYF110keu2Tz/9FKNHjw56gL2WtVYtE9HajesqWF1bBfQf6Lll\n7/APEMNGhTJKouiQaGQXLhGRF13Oxh00aBCefvppWCyWTq14F1xwAfR6TZVbqAPZ3AQ0NgCZQ4Di\no5BHD8GxdiWU5c9CWmqAAYOAkiLIlhYIna7tgYe/B3JYBoeok0QDu3CJiLzw2rLX3Nzsuuypu9Zg\nMCAuLg5NTU3Biaw3s9YCBhNEajrkwe/gePaP6tg9Sy1QWw2RlKL+eH33DeTXO1wPk4f3s2WPyANh\nMDHZIyLywmuyd9ddd+Htt99GZWWlx9urqqrw9ttv45577glacL2WtVZd13bgUCA2DuLSa4HMwYCl\nWp24YU4CjGY4PvgH5JefAABkQz1QWQZkDQlz8EQRKG8ClHk3hTsKIqKI5LUf9g9/+APeeust3H33\n3TAajcjMzERCQgLq6upQXFwMu92OmTNnYtmyZaGMt3ew1AJGM0RGJnT3PwIAaPnsQ3W7pQbIzgGM\nZmD/XshRY9TH1FYDpmT3bl0iAgCIuDhgIE+EiIg88Zrsmc1mXHPNNbjyyivxww8/4OjRo7DZbDAa\njRgyZAhycnI4Zq8b0tEC+c+/QfnVr923W2sBo3uXkzAlQVqqIWuroZiSIY1JQEtL20QNm4XdVERE\nROSzbrM1vV6P0aNHc+atP8pLId/dAHnupRBx8W3bLTUQxg6V/k1JasteVQWQlAJhMkOm9wesFvV2\nq6VTgkhERETUHRZrC6aSIvX/2mr37XZr52WdTEnqmL3yE0C/AUBqP4hJpwPWWkgpIW2WzgkiERER\nUTeY7AWRdCZ7NVXuN9ht6mzb9kxJkCeK1fU9jWaIC+ZCXHQVIAA01Ltm8BIRERH5gsleMJUcU/+v\n7T7ZE+Yk4PB+IL0/hBDqP0UBjElqosduXCIiIvIDk70gksVFwIBBkDXu3biyzgbRsWXPmKTW2us3\noMN2s5rs2dQZvERERES+8DpBY8OGDZp2cPnllwcsmF6npAjitGlATYdahXYbkNAh2TMnAQBEen/3\n7c5kz8rZuEREROQ7r8leRUWF63JjYyP++9//IicnB+np6SgvL8eBAwfws5/9LCRBRiNpqVVLpwwa\nBhw96H6jpzF7RjXZQ7p7y54wmiEttZDWWihs2SMiIiIfeU32br31VtflJ554AgsXLsSUKVNc2/77\n3/9i27ZtwY0uismC7cBJYyCSU+DY02HMXp2HZC8hEdDrO7fsmZzduByzR0RERL7TNGZv9+7dmDx5\nstu2SZMmYffu3UEJqjeQn7wP5YxzAHOKl9m4RrdNQgggKRXIyHS/r9HUboIGW/aIiIjIN5qSvQED\nBuD999932/bBBx9gwIABXh7Rt8ljP6o18/LGA0kpbnX2pJRqy17HMXsAlPv+BJE5yH2jczYuV9Ag\nIiIiP2ha7+yWW27B6tWr8c477yA1NRWVlZXQ6XRYvHhxsOPDkSNH8Pzzz6OpqQk6nQ433HADcnJy\nAAAvvvgiCgoKEBcXh9tuuw3Z2dlBj0eT8lJgYDaEooM0q8medDjUUioNdUBMnMc1bkVyaudtJjMc\n5SfU+nvtV+EgIiIi0kBTsjd06FA8+eST+OGHH1BVVYXk5GSMGjUqJGvj/vWvf8XcuXMxbtw47N69\nG3/961+xdOlS7Nq1CydOnMBTTz2FH374Ac8//zxWrFgR9Hi0kPV2iPgEAICIiVGTNJtVHX/naXJG\nV3Jygdf/AhjMalcvERERkQ+67cZ1OBy4+uqrIaXE6NGjMW3aNOTm5oYk0QPUsWx2ux0AYLPZkJKS\nAgDYuXMnZs6cCQAYOXIk7HY7qqurve4npBrqgNZkDwCQkgZUlamXfUz2RFIKlJvvhRh7WoCDJCIi\nor6g24xNURRkZWXBYrEgNbVzN2OwXXvttVixYgVeeeUVAMDy5csBAJWVlUhLS3Pdz9m9nJycHPIY\nO6mvd+9yTcsAKsuAISM819jrhhiVBzEqL8BBEhERUV+gqXluxowZePjhh3HeeechLS3NrTtxzJgx\nPQ5i+fLlqKmpcV2XUkIIgXnz5mHPnj3Iz8/H5MmTsX37dqxduxYPPvigx/146+YsLCxEYWGh6/rc\nuXNhMgVvskO9dECak5DQ+hz2AVnQ2SyIM5nQBAcazEkwBvH5e7PY2NigHjsKLh6/6MVjF914/KLf\nxo0bXZfz8vKQl6e9EUhTsvfhhx8CADZt2uS2XQiBNWvWaH4yb7wlbwCwZs0aXHfddQCAKVOm4M9/\n/jMAtSWvfeHniooKVxdvR55eFIvF0tOwvXLUVgPmZDS3PofDlIym4z+h0WKBo6IciI0L6vP3ZiaT\nia9dFOPxi148dtGNxy+6mUwmzJ071+/Ha0r2nnnmGb+foKdSU1Oxb98+5ObmYs+ePcjMVOvQTZw4\nER988AGmTZuG/fv3w2AwREYXLqB24/Zr142b2g84cgDS4fCrG5eIiIjIX6GZZdEDN998M9avXw+H\nw4GYmBjcdNNNAIAJEyZg9+7dmD9/PuLj4/Hb3/42zJG2U+8+QUOk9oOjsgxy7UrgyAGI6bPDGBwR\nERH1JZqSPbvdjk2bNmHfvn2wWCxqYeBWa9euDVpwAHDSSSdh1apVHm+74YYbgvrc/pINdVDaz8ZN\nywBOHAOO/wSkZ6iFlomIiIhCQNMKGi+88AIOHz6Myy67DFarFddffz3S09NxwQUXBDu+6FRfB8S1\nS/aSkoGGemDkaCi/ewzi9HPCFxsRERH1KZqSvW+++QaLFy/GpEmToCgKJk2ahEWLFuGzzz4LdnzR\nqWM3rqIDktMgxk2G0MdAhKhGIREREZGmrENKicTERABAfHw8bDYbkpOTUVJSEtTgolbHosoAxC8u\nhzj1Z2EKiIiIiPoqzcul7du3D2PHjsXJJ5+MdevWIT4+3jUzljqor3fvxgWgzPh5mIIhIiKivkxT\nN+7NN9+Mfv36AQCuv/56xMbGwmaz4fbbbw9qcFGroQ6Ij+/+fkRERERBpqllr3///q7LZrMZt9xy\nS9ACinZSSo8te0REREThoCnZu+eee5Cbm+v6ZzQagx1X9GpsAGL0EDpduCMhIiIi0pbsXX311fj2\n22/xr3/9C0899RQGDBjgSvymTJkS7BijS0MdW/WIiIgoYmhK9saOHYuxY8cCUNeUfffdd/H+++/j\ngw8+wIYNG4IaYNSp7zwTl4iIiChcNCV7BQUF2LdvH/bt24eKigqMHDkSV155JXJzc4MdX/TpWFCZ\niIiIKIw0JXsrV65E//79cdFFF2HmzJnQcTyad/X1bNkjIiKiiKEp2Vu2bBm+/fZbbN++HRs2bMDg\nwYORm5uL0aNHY/To0cGOMbqw7AoRERFFEE3J3sknn4yTTz4ZF198MWpqavCvf/0Lb7/9NjZs2MAx\nex3I+joIduMSERFRhNCU7H355ZcoLCzEvn37UFxcjOHDh+Pcc8/lmD1POEGDiIiIIoimZO9f//oX\ncnNzce2112LUqFGIjY0NdlzRq84GJBrCHQURERERAI3J3u9///sgh9GL2G1AApM9IiIiigyakr2m\npib8/e9/x9atW2GxWPDyyy/j66+/RnFxMc4999xgxxhd6uxAvwHhjoKIiIgIAKBoudNLL72En376\nCQsWLIAQAgAwePBgfPjhh0ENLirVsWWPiIiIIoemlr0dO3bgqaeeQnx8vCvZS01NRWVlZVCDi0ay\nzg6FY/aIiIgoQmhq2dPr9XA4HG7bamtrYTKZghJUVLPbgITEcEdBREREBEBjsjdlyhSsWbMGpaWl\nAICqqiqsW7cO06ZNC2pwUYnduERERBRBNCV7V155JTIyMrB48WLY7XYsWLAAKSkpuOyyy4IdX/Sp\ns7P0ChEREUUMTWP29Ho98vPzkZ+f7+q+dY7dow7YjUtEREQRRFPLXntmsxlCCPz444947LHHghFT\n1JJSAvV2IJ7JHhEREUWGLlv2Ghoa8Oabb+LIkSPIzMzEnDlzYLFY8Morr+Cbb77BzJkzQxVndGio\nB/QxEHpNDaZEREREQddlVrJu3TocPnwY48aNQ0FBAY4ePYrjx49j5syZuPnmm2E2m0MVZ3Swc6k0\nIiIiiixdJntff/01/vSnPyEpKQnnnXcebr31Vvz+97/H6NGjAxrE9u3bsWnTJhQVFWHlypUYPny4\n67Y333wT//nPf6DT6ZCfn49x48YBAAoKCvDSSy9BSomzzjoLF110UUBj8kudnTNxiYiIKKJ0OWav\nvr4eSUlJAIC0tDTEx8cHPNEDgCFDhuCuu+5Cbm6u2/aioiJs27YNjz/+OO6//3688MILkFLC4XBg\n3bp1WLJkCR599FFs3boVx44dC3hcPqvj5AwiIiKKLF227LW0tGDv3r1u2zpeHzNmTI+DyMrK8rh9\n586dmDZtGnQ6HTIyMpCZmYkDBw5ASonMzEz069cPADB9+nTs2LEDAwcO7HEsPcJkj4iIiCJMl8le\nUlIS1q5d67puNBrdrgshsGbNmqAFV1lZiVGjRrmuO5dok1IiLS3NbfuBAwd82rdsaYHQ6QIWKwBI\nuw0i0RjQfRIRERH1RJfJ3jPPPBOwJ1q+fDlqampc16WUEEJg3rx5mDhxosfHSCk7bRNCeN3uTWFh\nIQoLC13X586di8SKEuhHnOzLn9CtBulAizkJiVxGLmhiY2O5TF8U4/GLXjx20Y3HL/pt3LjRdTkv\nLw95eXmaHxuyGiEPPvigz49JS0tDeXm563pFRQVSUlIgpXTbXllZiZSUFK/78fSi2MvLIDIC2+3r\nqKoA9DGwWCwB3S+1MZlMfH2jGI9f9OKxi248ftHNZDJh7ty5fj/e56LKoTRx4kR88cUXaG5uRmlp\nKUpKSpCTk4OcnByUlJSgrKwMzc3N2Lp1q9fWQa/q7IEPuLgIyMgM/H6JiIiI/BQR1X+//PJLrF+/\nHrW1tVi1ahWys7PxwAMPYNCgQZg6dSoWLVoEvV6PG2+8EUIICCFwww034KGHHoKUErNmzcKgQYN8\nek5Zb0egF3yTh/dD+fmvArxXIiIiIv8J6WkAXB9Q9MpaKGcHLjGTdisc91wP5ck3Aj7xg9qwKyK6\n8fhFLx676MbjF928VS3RSnM3rsViwaeffoq3334bgDpOrqKiokdPHlZ1dYHd35EDwJDhTPSIiIgo\nomhK9vbt24c77rgDn332GTZv3gwAKCkpwfPPPx/U4IKqzhbQ3cnD+yGGnRTQfRIRERH1lKZk76WX\nXsIdd9yBJUuWQNfacpWTk4ODBw8GNbigqg9wy17xT8DAIYHdJxEREVEPaUr2ysrKMHbsWLdter0e\nLS0tQQkqJAI8G1fWVEEkpwZ0n0REREQ9pSnZGzRoEAoKCty27dmzB0OGRG9LlgxwNy5qqoAkJntE\nREQUWTSVXrn66qvx8MMPY/z48WhsbMRzzz2Hr776CnfffXew4wueQHfj1lQBZu+FnYmIiIjCQVOy\nN2rUKDzyyCP47LPPEB8fj/T0dPzxj390W5826tgD17Inm5qAhnrAwHVxiYiIKLJoLqqcmpqKX/2q\nFxUMDmTLXm0VYE6GUCJ6QRIiIiLqg7wme08//TSE6H6Nidtvvz2gAYVMIMfs1VQBSezCJSIiosjj\ntSlqwIAB6N+/P/r374/ExETs2LEDDocDqampcDgc2LFjBxITE0MZa2A1NEA6HIHZF5M9IiIiilBe\nW/bmzJnjurxixQrcd999GD16tGvbd9995yqwHJXi4tSu3ERDj3cla6ogmOwRERFRBNI0yGz//v0Y\nOXKk27acnBzs378/KEGFRHwiUB+gWnuciUtEREQRSlOyN2zYMLzxxhtobGwEADQ2NuJvf/sbsrOz\ngxlbcCUkBq6wci27cYmIiCgyaZqNe+utt+Kpp57CtddeC6PRCKvVihEjRmDBggXBji94ApjsyZoq\nKGOY7BEREVHk0ZTsZWRk4KGHHkJ5eTmqqqqQkpKC9PT0YMcWXAmJaotcIFhqAJM5MPsiIiIiCiDN\nheGsVisKCwuxd+9eFBYWwmq1BjOuoBPTz4bjjechy0p6vjOrBTAw2SMiIqLIo3mCxvz58/HRRx/h\nxx9/xP/93/9h/vz5UT1BQ5l0OsS0WZAfvd3zndksgNHU8/0QERERBZimbtyXXnoJN954I6ZPn+7a\n9sUXX2D9+vVYuXJl0IILNjHlLDgeexBy3m/8Xv1COlrUAs2JXCqNiIiIIo+mDKe4uBhTp0512zZl\nyhSUlASgCzSMROYgdezekR/834ndBsQnQOh0gQuMiIiIKEA0JXsDBgzAF1984bZt27Zt6N+/f1CC\nCiUxYSrk9v/4vwOrBTCwC5eIiIgik6Zu3Pz8fKxatQrvvfce0tPTUVZWhuLiYtx3333Bji/oxKxf\nwLH0NsizfwWRken7DmwWwMjJGURERBSZNCV7J510Ep5++mns2rULVVVVOO200zBhwgQYjdE/Tk2Y\nkyFm/xLyXxsh8hf6vgO27BEREVEE05TsAYDRaMQZZ5wRzFjCRkydDcdDiyAdLRCKb2PvpK0WgjNx\niYiIKEJ5TfZWrFiBJUuWAAD+53/+B0IIj/dbtmxZcCILIZHWDzAnA0cOAMNP8u3BbNkjIiKiCOY1\n2Zs5c6br8qxZs0ISTDiJsadB7v0KwtdkjzX2iIiIKIJ5TfZmzJjhunzmmWcGNYjt27dj06ZNKCoq\nwsqVKzF8+HAAwDfffIPXX38dLS0t0Ov1+PWvf40xY8YAAA4dOoRnn30WTU1NGD9+PPLz83sUgxhz\nGhybXwYuvNK3B1otwODsHj03ERERUbBoKr3y+eefo6ioCABw/PhxLF26FMuWLcOxY8dIFIu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DPPxM6dOwEAO3bscG0fOXIk7HY7qqurQxswuSQnJ7vOLuPj4zFw4EBUVFTw+EWRuLg4AGorX0tL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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113ee5b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YMSP0eWpqKqmpqYf0OIEc/RoXF8cxxxzDqlWr2LVrF77v43keWVlZJCUVHcmU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\n6kRERERM4A+K6gZm5bkn4gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1139a3828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting.plot_episode_stats(stats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
